Publications

LTU holds a database of publications, many of mine up to year 2018 can be found at the diva portal!

Recent most important publications:

Convex Functions and Their Applications. A Contemporary Approach, Second Edition (2018)

C. Niculescu. and L.E. Persson,  CMS Books in Mathematics, Springer (431 pages).

 

Publications of Lars-Erik Persson

 

1. Books and editoral work

 

[1] CALCULUS OF SEVERAL VARIABLES (together with Andrejs Dunkels, Håkan Ekblom, Torbjörn Hedberg and Reinhold Näslund), Studentlitteratur Publ., Lund (1990), (472 pages).

 

[2] LINEAR ALGEBRA (together with Lennart Andersson, Anders Grennberg, Torbjörn Hedberg, Reinhold Näslund and Björn von Sydow), Studentlitteratur Publ., Lund (1990), (502 pages).

 

[3] THE HOMOGENIZATION METHOD – AN INTRODUCTION (together with Leif Persson, Nils Svanstedt and John Wyller), Studentlitteratur Publ., Lund (1993), (86 pages).

 

[4] ANALYSIS, ALGEBRA and COMPUTERS IN MATHEMATICAL RESEARCH – Proceeding from the 21:th Nordic Congress in Mathematics” in Luleå June 1992, (Editor, together with Mats Gyllenberg), Marcel Dekker, Lecture Notes on Pure and Applied Mathematics 156,1994., (415 pages).

 

[5] SELECTED TOPICS IN MATHEMATICS – “Proceedings of the first Nordic summer school for female PhD students of Mathematics” in Luleå June 1996. (Editor, together with Anna Klisinska), Luleå University Printers Office, 1997, ISBN 911-630-5187-7, (110 pages).

 

[6] DIFFERENCE AND DIFFERENTIAL INEQUALITIES– Proceedings of the international workshop in Istanbul, in Istanbul,Turkey, July 3/7 1996 (Editor, together with Rawi P. Agarwal and A. Zafer), Mathematical Inequalities and Applications, Vol. 1, Nr. 3, 1998, 347-461.

 

[7] LINEAR ALGEBRA MED GEOMETRI (together with Lennart Andersson, Anders Grennberg, Torbjörn Hedberg, Renhold Näslund and Inge Söderqvist), Studentlitteratur Publ., Lund, 1999 (487 pages).

 

[8] FUNCTION SPACES AND APPLICATIONS, Proceedings of the conference “Function Spaces and Applications to Partial Differential Equations” in New Delhi, India, December 15-19, 1997 (Editor, together with David E. Edmunds, Pawan K. Jain, Pankaj Jain and Alois Kufner). Narosa Publishing House, New Delhi-Chennai-Mumbai-Calcutta, 2000 (278 pages).

 

[9] INTEGRAL INEQUALITIES WITH WEIGHTS (together with Alois Kufner), Academy of Sciences of the Czech Republic 2000 (211 pages).

 

[10] FUNCTION SPACES, INTERPOLATION THEORY AND RELATED TOPICS, Proceedings of the conference with the same title held in Lund, August 2000, in honour to Professor Jaak Peetre on the occasion of his 65th birthday (Editor, together with Alois Kufner, Michael Cwikel, Miroslav Englis and Gunnar Sparr), Walter de Greuter, Berlin, 2002 (462 pages).

 

[11] CONVEX FUNCTIONS-Basic Theory and applications (together with Constantin P. Niculescu), Universitaria Press, 2003 (185 pages).

 

[12] WEIGHTED INEQUALITIES OF HARDY TYPE (together with Alois Kufner), World Scientific, New Jersey/London/ Singapore/Hong Kong, 2003 (357 pages).

 

[13] CONVEX FUNCTIONS AND THEIR APPLICATIONS-A contemporary Approach (together with Constantin P. Niculescu), Canad. Math. Series Books in Mathematics, Springer, 2006 (252 pages).

 

[14] MULTIPLICATIVE INEQUALITIES OF CARLSON TYPE (together with Leo Larsson, Lech Maligranda and Josip Pecaric), World Scientific, New Jersey/London/ Singapore/Beijing/Shanghai/Hong Kong/Taipei/Chennai, 2006 (201 pages).

 

[15] THE HARDY INEQUALITY. ABOUT ITS HISTORY AND SOME RELATED RESULTS (together with Alois Kufner and Lech Maligranda), Vydavatelsky Servis Publishing House, Pilsen, 2007 (161 pages).

 

[16] WEIGHTED NORM INEQUALITIES FOR INTEGRAL TRANSFORMS WITH PRODUCT KERNALS (together with  Alexander Meshki and Vakhtang Kokalishvili), NOVA SCIENTIFIC PUBLISHERS, INC.,  NEW YORK, 2009  (329 pages).

 

[17] MATHEMATICAL INEQUALITIES AND APPLICATIONS. Proceedings of the conference with the same name in Trogir, Croatia, June 8-14, 2008, in honour to Professor Josip Pecaric, 2008  (Editor, together with Aleksandra Cizmesija), 2009 (224 pages).

 

[18] MATHEMATICAL INEQUALITIES AND APPLICATIONS. Proceedings of the conference with the same name in Trogir, Croatia, June 8-14, 2008, in honour to Professor Josip Pecaric, 2008  (Editor, together with Aleksandra Cizmesija), 2009 (237 pages).

 

[19] CORE MATHEMATICS FOR HIGH SCHOOLS: MODERN MATHEMATICS (together with Emmanuel Essel), LAP, Lambert Academic Publishing, 2012 (504 pages).

 

[20] LÄRA OCH UNDERVISA MATEMATIK-FRÅN FÖRSKOLEKLASS TILL ÅK. 6 (together with B. Grevholm, J. Häggström, S. Löfwall, E. Norén, G. Olofsson, E. Persson, P.E. Persson, E. Riesbäck och E. Taflin.), Norstedts förlag 2012.

 

[21] MATRIX SPACES AND SCHUR MULTIPLIERS. MATRICEAL HARMONIC ANALYSIS (together with Nicolae Popa) , World Scientific Publishing Co.  Ltd., Hackensack, New Jersey, 2014. (208 pages).

 

[22] WEIGHTED INEQUALITIES OF HARDY TYPE , second edition (together with Alois Kufner and Natasha Samko), World Scientific, New Jersey/London/ Singapore/Hong Kong, 2017 (480 pages).

 

[23] CONVEX FUNCTIONS AND THEIR APPLICATIONS. A CONTEMPORARY APPROACH, Second Edition (together with Constantin P. Niculescu), CMS Books in Mathematics, Springer,2018 (431 pages).

 

[24]MARTINGALE HARDY SPACES AND SUMMABILITY OF ONE-DIMENSIONAL VILENKIN-FOURIER SERIES (together with George Tephnadze and Ferenc Weisz), Springer/Birkhäuser, Cham., Berlin, 2022 (632 pages).

B.  PhD thesis

[1] Relations between regularity of periodic functions and their Fourier series 1 and II, Ph.D. Thesis, Umeå University, 1974 (88 pages).

 

1. Publications in mathematics/applied mathematics in international Journals/books

 

[1] Integrability conditions on periodic functions related to their Fourier transforms (together with Ingemar Wik, Umeå), J. Math. Anal. Appl. 44 (1973), 291-309.

 

[2] Relations between summability of functions and their Fourier series, Acta Math. Acad. Sci., Hungar. 27:3-4 (1976), 267-280.

 

[3] On a weak-type theorem with applications, Proc. London Math. Soc. (3), 38 (1979), 295-308.

 

[4] An exact description of Lorentz spaces, Acta Sci. Math. 46 (1983), 106-116.

 

[5] Descriptions of some interpolation spaces in off-diagonal cases, Lecture Notes in Math. 1070 (1984), 213-231.

 

[6] Interpolation with a parameter function, Math. Scand. 59 (1986), 199-222.

 

[7] Real interpolation between weighted Lp- and Lorentz -spaces (together with Lech Maligranda, Poznan, Caracas, Luleå), Bull. Polish Acad. Sci. Math., Vol. 35: 11-12 (1987), 765-778.

 

[8] Real interpolation between some operator ideals, Lecture Notes in Math.1302, Springer Verlag 1988, 347-362.

 

[9] Exact relations between some scales of spaces and interpolation, Teubner-Texte zur Mathematik, band 103 (1988), 112-122.

 

[10] Some elementary inequalities in connection with Xp-Spaces, Publ. Bulgarian Acad. Sci. (1988), 367-376.

 

[11] Generalized duality of some Banach function spaces (together with Lech Maligranda, Poznan, Caracas, Luleå), Indagationes Math. 51, 323-338, 1989, Proc. Nederl. Akad. Wetensch. 92: 3 (1989), 323-338.

 

[12] On interpolation between Xp-spaces (together with Ljudmila I. Nikolova, Sofia), Function Spaces, Differential Operators and Nonlinear Analysis, Pitman Research Notes in Math., Ser. 211 (1989), 89-107.

 

[13] General Beckenbach’s inequality with applications (together with Jaak Peetre, Stockholm, Lund), Function Spaces, Differential Operators and Nonlinear Analysis, Pitman Research Notes in Math., Ser. 211 (1989), 125-139.

 

[14] On generalized Gini means and scales of means (together with Sigrid Sjöstrand, Lund), Resultate der Mathematik, vol. 18, issue 3/4 (1990), 320-332.

 

[15] Inequalities between the modulus of continuity and rearrangements (together with Hans Johansson, Luleå, and Lech Maligranda, Poznan, Caracas, Luleå). Colloquia Mathematica Societas Janos Bolyai, (1990), 413-423.

 

[16] On quantizer distortion and the upper bound for exponential entropies (together with Timo Koski, Luleå), IEEE Transactions on Information Theory, Vol 37: 4 (1991), 1168-1172.

 

[17] Generalizations of some classical inequalities with applications, Teubner Texte zur Mathematik , Band 119 (1991), 127-148.

 

[18] The E-functional for some pairs of groups (together with Lech Maligranda, Poznan, Caracas, Luleå). Resultate der Mathematik, Vol. 20 (1991), 539-553.

 

[19] Some properties of Xp-spaces (together with Ljudmila. I. Nikolova, Sofia), Teubner Texte zur Mathematik, Band 120 (1991), 174-185.

 

[20] Reiteration for and exact relations between some real interpolation spaces (together with Carlos. E. Finol, Caracas, and Lech Maligranda, Poznan, Caracas, Luleå), Teubner Texte zur Mathematik, Band 120 (1991), 238-247.

 

[21] Some properties of generalized entropies with applications to compression of data (together with Timo Koski, Luleå), Journal of Information Sciences 62 (1992), 103-132.

 

[22] On Clarkson´s inequalities and interpolation (together with Lech Maligranda, Poznan, Caracas, Luleå), Math. Nachr. 155 (1992), 187-197.

 

[23] On a general inequality with applications (together with D.S. Mitrinovic, Belgrad, and J.E. Pecaric, Zagreb), Z. Anal. Anwend. 11 (1992), 285-290.

 

[24] A homogenization procedure for computing effective moduli and microstresses in composite materials (together with Anders Holmbom, Östersund, och Nils Svanstedt, Luleå, Gävle/Sandviken), J. Composite Engineering, Vol. 1, No.1 (1992), 249-259.

 

[25] Interpolation of nonlinear operators between families of Banach spaces (together with Ljudmila I. Nikolova, Sofia), Math. Scand. 72 (1993), 47-60.

 

[26] Green´s method for the plate equation with applications (together with Thomas Strömberg, Luleå), Commentationes Math. 33 (1993), 119-133.

 

[27] A Carlson type inequality with blocks and interpolation (together with Lech Maligranda, Luleå and Natan Krugljak, Jaroslavl), Studia Math. 104 (1993), 161-180.

 

[28] The homogenization method and some of its applications, Mathematica Balkanica, vol.7, (1993), fasc. 3-4 , 179-190.

 

[29] Inequalities and interpolation (together with Lech Maliganda, Luleå), Collect. Math. 44 (1993), 181-199.

 

[30] Sharp upper bounds for and some properties of generalized entropies, Mathematica Balkanica Vol. 8 (1994), 153-164.

 

[31] Best constants in reversed Hardy«s inequalities for quasimonotone functions (together with Victor Burenkov, Moscow, and Jöran Bergh, Göteborg), Acta Sci. Math. (Szeged), 59 (1994), 221- 239.

 

[32] Sharp generalized Carleman inequalities with minimal information about the spectrum (together with Ljubomir T. Dechevski, Sofia, Narvik), Math. Nachr. 168 (1994), 61-77.

 

[33] e-entropy, e-rate and interpolation spaces revisited with an application to linear communication channels (together with Timo Koski, Luleå, and Jaak Peetre, Stockholm, Lund). J. Math. Anal. Appl. 186 (1994), 265-276.

 

[34] On some sharp reversed Hölder and Hardy inequalities (together with Victor Burenkov, Moscow, and Jöran Bergh, Göteborg), Math. Nachr. 167 (1994), 19-29.

 

[35] On some inequalities of the Grüss-Barnes and Borell type (together with Lech Maligranda, Luleå, and Josip E. Pecaric, Zagreb), J. Math. Anal. Appl. 187 (1994), 306-323.

 

[36] Hardy inequalities of fractional order via interpolation (together with Alois Kufner, Prag), INEQUALITIES AND APPLICATIONS, World Scientific Series in Applicable Analysis, 3 (1994), 417-430.

 

[37] Interpolation and partial differential equations (together with Lech Maligranda, Luleå, and John Wyller, Oslo), J. Math. Phys. 35(9), September 1994, 5035-5046.

 

[38] On the best constants in certain integral inequalities for monotone functions (together with Eugene Myasnikov, Khabarovsk, and Vladimir Stepanov, Hamilton), Acta Sci. Math. (Szeged) 59 (1994), 613-624.

 

[39] Storlarsky´s inequality with general weights (together with Lech Maligranda, Luleå, and Josip E. Pecaric, Zagreb), Proc. Amer. Math. Soc. Vol 123, Nr. 7 (1995), 2113-2118.

 

[40] Weighted Favard and Berwald inequalities (together with Lech Maligranda, Luleå, and Josip .E. Pecaric, Zagreb), J. Math. Anal. Appl. 190 (1995), 248-262.

 

[41] Some inequalities of Hadamard type (together with Sever S. Dragomir, Timisoara, and Josip E. Pecaric, Zagreb), Soochow Journal of Mathematics 21(1995), 337-343.

 

[42] On some sharp bounds for the homogenized p-Poisson equation (together with Peter Wall, Luleå, and Dag Lukkassen, Narvik ), Applicable Analysis 58 (1995), 123-135.

 

[43] On Bergh´s inequality for quasi-monotone functions (together with Josip E. Pecaric, Zagreb), J. Math. Anal. Appl. 195 (1995), 393-400.

 

[44] Some engineering and mathematical aspects on the homogenization method (together with Peter Wall, Luleå, and Dag Lukkassen, Narvik), J. Composite Engineering 5 (1995), 519-531.

 

[45] Some weighted multidimensional Berwald, Thunsdorff and Borell inequalities (together with Josip E. Pecaric, Zagreb). Math. Panonica 7 (1996), 281-290.

 

[46] Properties of some functionals related to Jensen´s inequality (together with Sever S. Dragomir, Timisoara, and Josip Pecaric, Zagreb), Acta Math. Hung. 70:1 (1996), 129-143.

 

[47] On sharpness, applications and generalizations of some Carleman type inequalities (together with Ljubomir T. Dechevski, Sofia, Chicago), Tohoku Math. J. 48 (1996), 1-22.

 

[48] On an inequality related to the isotonicity of the projection operator (together with George Isac, Quebec), J. Approx. Theory 86 (1996), 129-143.

 

[49] A multidimensional integralinequality for monotone functions of several variables (together with Josip E. Pecaric and Ivan Peric , Zagreb), Acta Sci. Math. 62 (1996), 407-412.

 

[50] Some real interpolation methods for families of Banach spaces (together with Maria J. Carro, Barcelona,, Ljudmila I. Nikolova, Sofia, and Jaak Peetre, Stockholm, Lund), J. Approx. Theory 89 (1997), 26-57.

 

[51] Reversed Hölder type inequalitiesfor monotone functions of several variables (together with Sorina Barza, Karlstad, and Josip E. Pecaric, Zagreb), Math. Nachr. 186 (1997), 67-80.

 

[52] On some fractional order Hardy inequalities (together with Hans Heinig, Hamilton, and Alois Kufner, Prag), J. Inequal. Appl. 1 (1997), 25-46.

 

[53] Distribution and rearrangement estimates of the maximal function and interpolation (together with Irina Asekritova, Jaroslavl, Natan Krugljak, Jaroslavl, and Lech Maligranda, Luleå), Studia Math. 124 (2) (1997), 107-131.

 

[54] A study of bending waves in infinite and anisotropic plates (together with Ove Lindblom, Luleå, Reinhold Näslund, Luleå, and Karl-Evert Fällström, Luleå), J. Appl. Math. 42 (1997), 213-232.

 

[55] Integral inequalities for monotone functions (together with Josip E. Pecaric and Ivan Peric , Zagreb), J. Math. Anal. Appl. 215 (1997), 235-251.

 

[56] On the connection between real and complex interpolation of quasi-Banach spaces (together with Fernando Cobos, Madrid, and Jaak Peetre, Lund), Bull. Sci. Math. 122 (1998), 17-37.

 

[57] Carlson type inequalities (together with Sorina Barza, Karlstad, and Josip E. Pecaric, Zagreb), J. Inequal. Appl. 2 (1998), 121-135.

 

[58] Inequalities related to isotonicity of projection and antiprojection operators (together with George Isac, Kingsdon), Math. Inequal. Appl. 1 (1998), 85-97.

 

[59] Sharp multidimensional multiplicative inequalities for weighted Lp spaces with homogeneous weights (together with Sorina Barza, Karlstad, Victor Burenkov, Cardiff, Moskva, and Josip E. Pecaric, Zagreb), Math. Inequal. Appl. 1 (1998), 53-67.

 

[60] Some generalizations and refinements of the Hardy inequality (together with Hans Heinig, Hamilton, and Alois Kufner, Prag), Recent Progress in Inequalities — A volume dedicated to Professor D.S. Mitrinovic (G.V. Milovanovic, ed.), Kluwer Publ. (1998), 271-288.

 

[61] Some difference inequalities with weights and interpolation (together with Alois Kufner, Prag), Math. Inequal. Appl. 3 (1998), 437-444.

 

[62] Real interpolation of compact operators between quasi-Banach spaces (together with Fernando Cobos, Madrid), Math. Scand. 2 (1998), 138-160.

 

[63] Convexity, concavity, type and cotype of Lorentz spaces (together with Anna Kaminska, Memphis, and Lech Maligranda, Luleå), Indagationes Math. 9 (1998), 367-382.

 

[64] Extension of submultiplicativity and supermultiplicativity of Orlicz functions (together with Henryk Hudzik, Poznan, Lech Maligranda, Luleå and Mieczyslaw Mastylo, Poznan), Real Analysis Exchange 24(2) (1998/9), 567-578.

 

[65] Real interpolation for divisible cones (together with Maria J. Carro, Barcelona, and Stefan Ericsson, Luleå), Proc. Edinburgh Math. Soc. 42 (1999), 285-304.

 

[66] S-divisibility property and a Holmstedt type formula (together with Maria J. Carro, Barcelona, and Stefan Ericsson, Luleå), J. Approx. Theory 98 (1999), 1-24.

 

[67] Weighted multidimensional inequalities for monotone functions (together with Sorina Barza, Karlstad), Mathematica Bohemica 124 (1999), 329-335.

 

[68] The failure of the Hardy inequality and interpolation of subspaces (together with Natan Krugljak, Jaroslavl, and Lech Maligranda, Luleå), Arkiv Mat. 37 (1999), 323-344.

 

[69] Sharp weighted multidimensional integral inequalities of Chebyshev type (together with Sorina Barza, Karlstad, and Javier Soria, Barcelona), J. Math. Anal. Appl. 236 (1999), 243-253.

 

[70] Sharp weighted multidimensional integral inequalities for monotone functions (together with Sorina Barza, Karlstad, and Javier Soria, Barcelona), Math. Nachr. 210 (2000), 43-58.

 

[71] Sharp integral inequalities for C-monotone functions of several variables (together with Ivan Peric, Zagreb, and Anna Wedestig, Luleå), Math. Inequal. Appl. 1 (2000), 51-62.

 

[72] On weighted multidimensional integral inequalities for mixed monotone functions (together with Sorina Barza, Karlstad, and Yves Rakotondratsimba, France), Bull. Math. Soc. Sc. Math. Roumanie 43 (2000), 3-10.

 

[73] From Hardy to Carleman and general mean-type inequalities (together with Pankaj Jain, Dehli and Anna Wedestig, Luleå), FUNCTION SPACES AND APPLICATIONS, CRS Press (New York)/Narosa Publishing House (New Dehli), 2000, 117-130.

 

[74] Indices and regularizations of measurable functions, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 2000, 231-246.

 

[75] On an elementary approach to the fractional order Hardy inequality (together with Natan Krugljak, Jaroslavl, and Lech Maligranda, Luleå), Proc. Amer. Math. Soc. 128 (3) (2000), 727-734.

 

[76] Reiterated homogenization of monotone operators (together with Jacques-Louis Lions, Paris, Dag Lukkassen, Narvik and Peter Wall, Luleå), C. R. Acad. Sci. Paris, t. 330, Ser. I (2000), 675-680.

[77] Clarkson type inequalities and their relations to the concepts of type and cotype (together with Mikio Kato, Kitakyushu and Yasuji Takahashi, Soja), Collect. Math. 51 (2000), 327-346.

 

[78] Norms of interpolation operators controlled by the Dicesar function (together with Maria J. Carro, Barcelona, and Ludmila I. Nikolova, Sofia), FUNCTION SPACES AND APPLICATIONS, CRS Press (New York)/Narosa Publishing House (New Dehli), 2000, 44-59.

 

[79] Norms in weighted L2 -spaces and Hardy operators (together with Norbert Kaiblinger, Wien, and Lech Maligranda, Luleå), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker , 2000, 205-216.

 

[80] On weighted multidimensional embeddings for monotone functions (together with Sorina Barza, Karlstad, and Vladimir Stepanov, Khabarosvsk), Math. Scand. 88 (2001), 303-319.

 

[81] Weighted integral inequalities with a geometric mean (together with Vladimir Stepanov, Khabarovsk), Goklady Akademii Nauk 377 (2001), 439-440.

 

[82] Reiterated homogenization of nonlinear monotone operators (together with Jacques-Louis Lions, Paris, Dag Lukkassen, Narvik, and Peter Wall, Luleå), Chin. Ann. of Math. 22B. 1(2001), 1-12.

 

[83] Remarks on recent results of Oguntuase and Imori (together with Pankaj Jain, New Delhi), J. Math Anal. Appl. 255 (2001), 105-108.

 

[84] Lions-Peetre reiteration formulas for triples and their applications (together with Irina Asekritova, Jaroslavl, Natan Krugljak, Jaroslavl and Lech Maligranda, Luleå), Studia Math. 145 (2001), 219-253.

 

[85] A sharp Multidimensional Bergh Type Inequality (together with Josip E. Pecaric and Ivan Peric, Zagreb), Math. Nachr. 228 (2001), 155-162.

[86] Carleman-Knopp type inequalities via Hardy inequalities (together with Pankaj Jain, New Dehli and Anna Wedestig, Luleå), Math. Inequal. Appl. 4 (2001), 343-355.

 

[87] Duality theorem over the cone of monotone functions and sequences in higher dimensions (together with Sorina Barza, Karlstad, and Hans Heinig, Hamilton), J. Inequal. Appl. 7 (2002), 79-108.

 

[88] Imbeddings of unisotropic Orlicz-Sobolev spaces and applications (together with Pankaj Jain, New Dehli, Dag Lukkassen, Narvik, and Nils Svanstedt, Göteborg), Math. Inequal. Appl. 5 (2002), No. 2, 181-195.

 

[89] On weighted inequalities with geometric mean operator by the Hardy-type integral transform (together with Maria Nassyrova and Vladimir Stepanov, Khabarovsk), J. Inequal. Pure Appl. Math. 3 (2002), no. 4, Article 48, 16 pp..

 

[90] On sharpness of some integral inequalities and an integral equation of Volterra type (together with Josip E, Pecaric and Ivan Peric, Zagreb), Math. Inequal. Appl. 5 (2002), No. 4, 659-670.

 

[91] Weighted integral inequalities with the geometric mean operator (together with Vladimir Stepanov, Khabarovsk), J. Inequal. Appl. 7 (2002), No. 5, 727-746.

 

[92] On Carleman and Knopp«s inequalities (together with Sten Kaijser, Uppsala, and Anders Öberg, Uppsala), J. Approx. Theory 117 (2002), No. 1, 140-151.

 

[93] Multidimensional Cochran and Lee type inequalities with weights (together with Pankaj Jain, New Dehli, and Anna Wedestig, Luleå), J. Proc. A. Razmadze Math. Inst. 129 (2002), 17-27.

 

[94] Indices, convexity and concavity of Calderón-Lozanovskii spaces (together with Anna Kaminska, Memphis, and Lech Maligranda, Luleå), Math. Scand. 92 (2003), 141-160.

 

[95] Sharp Error Estimates for Approximation by Wavelet Frames in Lebesgue Spaces (together with Lubomir T. Dechevsky, Narvik, and Niklas Grip, Luleå), J. Anal. Appl. 1 (2003), No. 1, 11-31.

 

[96] A note on Simpson type numerical integration (together with Vera Culjak , Zagreb, and Josip Pecaric, Zagreb), Soochow J. Math. 29 (2003), No. 2, 189-198.

 

[97] On Clarkson´s inequality, type and cotype for the Edmunds-Triebel logarithmic spaces (together with Ludmila Nikolova, Sofia, and Theodossios Zachariades, Athens), Arch. Math. 80 (2003), No. 2, 165-176.

 

[98] Carlemans olikhet – historik, skärpningar och generaliseringar (together with Maria Johansson, Luleå, and Anna Wedestig, Luleå), NORMAT 51:3 (2003), 89-108, in Swedish.

 

[99] A matriceal analogue of Fejer’s theory (together with Sorina Barza, Karlstad, and Nicolae Popa, Bucharest), Math. Nachr. 260 (2003), 14-20.

 

[100] Carleman’s inequality – history, proofs and some new generalizations (together with Maria Johansson, Luleå, and Anna Wedestig, Luleå), J. Inequal. Pure Appl. Math. 4 (2008). No. 3, Article 53, 19 pp..

 

[101] On strengthened Hardy and Pólya-Knopp’s inequalities (together with Alexandra Cizmesija, Zagreb, and Josip Pecaric, Zagreb),  J. Approx. Theory 125 (2003). No. 1, 74-84.

 

[102] Weighted geometric mean inequalities over cones in Rn (together with Babita Gupta, New Dehli, Pankaj Jain, New Dehli, and Anna Wedestig, Luleå), J. Inequal. Pure Appl. Math., Vol. 4, Issue 4,  2003  (11 pages).

 

[103] On strengthened weighted Carleman´s inequality (together with Alexandra Cizmesija, Zagreb, and Josip Pecaric, Zagreb), Bull. Austral. Math. Soc. 68 (2003), No. 3, 481-490.

 

[104] Old and new on the Hermite-Hadamard inequality (together with Constantin Niculescu, Craiova), Real Anal. Exchange 29 (2003/2004), No. 2, 663-686.

 

[105] Multidimensional rearrangement and Lorentz spaces (together with Sorina Barza, Karlstad, and Javier Soria, Barcelona), Acta Math. Hungar 104 (2004),  No. 3, 203-221.

 

[106] On the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions (together with Miroslav Englis, Prag, Dag Lukkassen, Narvik, and Jaak Peetre, Lund), J. Reine Angew. Math. 570 (2004), 89-129.

 

[107] An equivalence theorem for some scales of integral conditions related to Hardy´s inequality with applications (together with Amiran Gogatishvili, Prague, Alois Kufner, Prague and Anna Wedestig, Luleå), Real Anal. Exchange 29 (2004), No.2, 867-880.

 

[108] A study of some constants for Banach spaces (together with Ludmila Nikolova, Sofia, and Theodossios Zachariades, Athens), Compt. Rend. Bulg. Sci. 57 (2004), No. 2, 5-8.

 

[109] On some iterated means arising in homogenization theory (together with Jaak Peetre, Lund, and Dag Lukkassen, Narvik), Applications of Math. 49 (2004), No. 4, 343-356.

 

[110] An extension of the Landau and Levin-Steckin inequalities (together with Leo Larsson, Uppsala, and Josip Pecaric, Zagreb), Acta Sci. Math. (Szeged) 70 (2004), No. 1-2, 25-34.

 

[111] Integral inequalities for some weighted geometric mean operators with variable limits (together with Dmitry Prokhorov, Khabarovsk), Arch. Inequal. Appl. 2 (2004), No. 4, 475-482.

 

[112] Towards automatic detection of local bearing defects in rotating machines (together with Stefan Ericsson, Luleå, Niklas Grip, Luleå, Elin Johansson, Luleå, Ronny Sjöberg, Luleå, and Jan-Olov Strömberg, Stockholm), Mechanical Systems and Signal Processing 19 (2004), 509-535.

 

[113] On geometric mean inequalities with exponential weights (together with Pankaj Jain and Arun Pal Singh, New Dehli), Soochow J. Math. 30 (2004), No. 4, 391-400.

 

[114] Hardy-type inequalities for means (together with Zsolt Pales, Debrecen), Bull. Austral. Math. Soc. 70 (2004), No. 3, 521-528.

 

[115] A study of some constants characterizing the weghted Hardy inequality (together with Alois Kufner, Prague, and Anna Wedestig, Luleå),  Orlicz Centenary Volume, Banach Center Publ. 64 (2004), 135-146.

 

[116] A Sawyer duality principle for radially monotone functions in Rn (together with Sorina Barza, Karlstad, and Maria Johansson, Luleå),  J. Inequal. Pure Appl. Math. 6 (2005), No. 2, Article 44, 13 pp..

 

[117]  On integral operators with monotone kernals (together with Vladimir Stepanov, Khabarovsk, and Elena Ushakova, Khabarovsk), Russian Akad. Sci. Dokl. Math. 403 (1) (2005), 11-14.

 

[118]  A generalized Simpson, Trapetsoid and Ostrowski type inequality for convex functions (together with Vera Culjak, Zagreb, and Josip Pecaric, Zagreb),  Soochow J. Math. 31(4) (2005), 617-627.

 

[119] Scales of weight characterizations for some multidimensional discrete Hardy and Carleman type inequalities (together with Christopher Okpoti, Winneba, and Anna Wedestig, Luleå),  Proc. A. Razmadze Math. Inst. Approx. Theory 138 (2005), 63-84.

 

[120] Hardy-type inequalities via convexity (together with Sten Kaijser, Uppsala, Ljudmila Nikolova, Sofia, and Anna Wedestig, Luleå), Math. Inequal. Appl. 3 (2005), 403-417.

 

[121] Weighted integral inequalities for Hardy and geometric mean operators with kernals over cones in Rn (together with Alexandra Cizmesija, Zagreb, and Anna Wedestig, Luleå), Italian J. Pure & Appl. Math. 18 (2005), 89-118.

 

[122] Carlson type inequalities for finite sums and integrals on bounded intervals (together with Leo Larsson, Uppsala, and Zsolt Palés, Debrecen), Bull. Austral. Math.soc. 71 (2005), No. 2, 275-284.

 

[123] Rothe´s method for parabolic equations on non-cylindrical domains (together with Johan Dasht, Luleå, Jonas Engström, Luleå, and Alois Kufner, Prag), Adv. Algebra Anal. 1 (2006), No. 1, 59-80.

 

[124]  Three weights higher order Hardy type inequalities (together with Aigerim Kalybay, Almaty), J. Funct. Spaces Appl. 4 (2006) No. 2, 163-191.

 

[125] Compactness of the Hardy operator and its liniting case (together with Amiran Gogatishvili, Prague, Alois Kufner, Prague, and Anna Wedestig, Luleå),  Soochow J. Math. 32 (2006), No. 1, 21-35.

 

[126] Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions (together with Vladimir Stepanov, Khabarovsk, and Elena Ushakova, Khabarovsk),  Proc. Amer. Math. Soc. 134 (2006) no. 8, 2363-2372.

 

[127] The prehistory of the Hardy inequality (together with Alois Kufner, Prague, and Lech Maligranda, Luleå), Amer. Math. Monthly 113 (2006),  No. 8, 715-732.

 

[128] Weight characterizations for the discrete Hardy inequality with kernel (together with Christopher Okpoti, Winneba, and Anna Wedestig, Luleå),  J. Inequal. Appl. 2006, Art. ID 18030, 14 pp..

 

[129] Mixed norm and multidimensional Lorentz spaces (together with Sorina Barza, Karlstad, Anna Kamiska, Memphis, and Javier Soria, Barcelona),  Positivity 10 (2006), No. 8, 539-554.

 

[130] Homogenization of random degenerated operators (together with Jonas Engström, Luleå, Andrey Piatnitski, Narvik, och Peter Wall, Luleå), Glas. Mat. Ser. III 41(61) (2006), No. 1, 101-114.

 

[131] Structure of the Hardy operator related to Laguerre polynomials and the Euler differential equation (together with Natan Krugljak, Luleå, and Lech Maligranda, Luleå),  Rev. Mat. Complut. 19 (2006), No. 2, 467-478.

 

[132] Carlson´s inequality and interpolation (together with Leo Larsson, Uppsala),  Proc. Estonian Acad. Sci. Phys. Math. 55 (2006), no. 3, 182-188.

 

[133] General inequalities via isotonic subadditive functionals (together with Shoshana Abramovich, Haifa, Josip Pecaric, Zagreb, and Sanya Varosanec, Zagreb), Math. Inequal. Appl. 10 (2007), No. 1, 15-28.

 

[134] Some scales of equivalent weight characterizations of Hardy´s inequality: the case q < p (together with Vladimir Stepanov, Moscow and Peter Wall, Luleå),  Math. Inequal. Appl. 10 (2007), No. 2, 267-279.

 

[135] An equivalence theorem for some integral conditions with general measures related to Hardy´s inequality (together with Christopher Okpoti, Winneba, and Gord Sinnamon, Hamilton),  J. Math. Anal. Appl. 326 (2007), No. 1, 398-413.

 

[136] Characterization of embeddings in Lorentz spaces using a method of discretization and anti-discretization (together with Amiran Gogatishvili, Prague, Maria Johansson, Luleå, and Christopher Okpoti, Akkra), Bull. Austral. Math. Soc. 76 (2007), 69-92.

 

[137] Weighted Hardy and Pólya-Knopp inequalities with variable limits (together with Ludmila Nikolova, Sofia, Elena Ushakova, Khabarovsk, and Anna Wedestig, Luleå), Math. Inequal. Appl. 10 (2007), No. 3, 547-557.

 

[138] Multidimensional Hardy type inequalities for p < 0 and 0 < p < 1 (together with James A. Oguntuase, Abeokuta, Christopher .Okpoti, Winneba, and Francis Allotey, Akkra), J. Math. Inequal. 1 (2007), No. 1, 1-11.

 

[139] Weighted inequalities of Hardy type for matrix operators: The case q<p (together with Christopher Okpoti, Winneba, and Ryskul Oinarov, Astana),  Math. Inequal. Appl. 10 (2007), No. 4, 841-859.

 

[140] Generalized weighted inequality with negative powers (together with Alois Kufner, Prag, Komil Kuliev, Samarkand, and James Oguntuase, Abeokuta), J. Math. Inequal. 1 (2007), No. 2, 269-280.

 

[141] Weighted multidimensional Hardy  type inequalities via Jensen´s inequality (together with James Oguntuase, Abeokuta, Christopher Okpoti, Akkra, and Francis Allotey, Akkra), J. Proc. A. Razmadze Inst. 144 (2007), 91-105.

 

[142] Homogenization of the unstationary incompressible Reynolds equation (together with Andreas Almqvist, Luleå, Emmanuel Essel, Cape Coast, and Peter Wall, Luleå),  Trib. Int. 40 (2007),  No. 9 , 1344-1350.

 

[143] Levin-Cochran-Lee type inequalities involving many functions (together with James Oguntuase, Abeokuta), J. Proc. A. Razmadze Inst. 144 (2007), 107-118.

 

[144] Some multi-dimensional Hardy type integral inequalities (together with Elena Ushakova, Khabarovsk), J. Math. Inequal. 1 (2007), No. 3, 301-319.

.
[145] Spectral properties of a class of singular differential operators (together with Aigerim Kalybay, Almaty, and Ryskul Oinarov, Astana), Math. Inequal. Appl. 1 (2007), No. 3, 355-376.

 

[146] An extension of  Rothe´s method to noncylindrical domains (together with Komil Kuliev, Samarkand), Applications of Mathematics 52 (2007), No. 5, 365-389.

 

[147] On the precise asymptotics of the constant in the Friedrich´s inequality for functions vanishing on the part of the boundary with microinhomogeneous structure (together with Gregory Chechkin, Moscow and Yu Koroleva, Moscow),  J. Inequal. Appl. 2007, Art. ID 34138, 13 pp..

 

[148] Scales of equivalent integral conditions related to Hardy type inequalities  (together with Maria Johansson, Luleå), Eurasian Mathematical Journal, 2007, No. 3, 22-31.

 

[149] Inequalities and properties of some generalized Orlicz classes and spaces (together with Pankaj Jain, New Dehli,  and Preeti Upreti, New Dehli), Acta Math. Hungar. 117 (2007), No. 1, 161-174.

 

[150] An equivalence theorem for some integral conditions with general measures related to Hardy´s inequality II (together with Christopher Okpoti, Akkra, and Gord Sinnamon, Hamilton), J. Math. Anal. Appl. 337 (2008), No. 1, 219-230.

 

[151] Multidimensional Hardy-type inequalities via convexity  (together with Alexandra Cismezija, Zagreb, and James Oguntuase, Abeokuta), Bull. Austral. Math. Soc. 77 (2008), 245-260.

 

[152] Refined Multidimensional Hardy-type inequalities via superquadraticity  (together with  James Oguntuase, Abeokuta, Emmanuel Essel, Cape Coast and and B. Poopola, Abeokota), Banach J. Math. Anal. 2 (2008), No. 2, 129-13.

 

[153] A new approach to the Sawyer and Sinnamon characterizations of Hardy´s onequality for decreasing functions  (together with  Maria Johansson and Anna Wedestig, Luleå), Georgian Math. J. 15 (2008), 295-306.

 

[154] Some multiplicative inequalities for inner products and of the Carlson type  (together with Sorina Barza, Karlstad and Emil Popa, Bucharest ),  J. Inequal. Appl. 2008, Art. ID 890137, 7 pp..

 

[155] On n-th James and Khintchine constants of Banach Spaces (together with Lech Maligranda, Luleå, Ludmila Nikolova, Sofia, and Theodossios Zachariades, Athens),  Math. Inequal. Appl. 11 (2007), No. 1, 1-22.

 

[156] Refinement of Hardy´s inequalities via superquadratic and subquadratic functions (together with James Oguntuase, Abeokuta),  J Math. Anal. Appl. 339 (2008), No. 2, 1305-1312.

 

[157] Multidimensional Hardy-type inequalities with general kernals (together with James Oguntuase, Abeokuta, and Emmanuel Essel, Cape Coast), J. Math.Anal. Appl. 348 (2008), No. 1, 411-418.

 

[158] Some new scales of weight characterizations of the class Bp (together with Amiran Gogatishvili, Prague, and Alois Kufner, Prague), Acta Math. Hungar. 123 (2009), No. 4, 365-377.

 

[159] On the Friedrichs inequality in a domain perforated aperiodically along the boundary: Homogenization procedure. Asymptotics for parabolic problems  (together with Gregory Chechkin, Moscow, Yulia Koroleva, Moscow and Annette Meidell, Narvik), Russ. J. Math. Physics 16 (2009), No. 1, 1-16.

 

[160] Equivalence of modular inequalities of Hardy type on non-negative and non-increasing functions  (together with Sorina Barza, Karlstad), Internat. Ser. Numer. Math. 157 (2009), Birkhäuser, 53-60.

 

[161] Some new Hardy type inequalities with general kernals  (together with Kristina Krulic, Zagreb, and Josip Pecaric, Zagreb), Math. Inequal Appl. 12 (2009), No. 3, 473-485.

 

[162] A new characterization of Bergman-Schatten spaces and a duality result  (together with Liviu-Gabriel Marcoci, Bucharest,  I. Popa, Bucharest, and Nicolae Popa, Bucharest), J. Math. Anal. Appl. 360 (2009), No. 1, 67-80.

 

[163] Multidimensional generalization of the Lizorkin theorem on Fourier mulipliers  (together with Lyazzat Sarebekova, Astana and Nazerke Tleukhanova, Asstana), J. Proc. A. Razmadze Inst. 1151 (2009), 83-101.

 

[164] Reverse Cauchy-Schwarz inequalities for positive C*-valued sesquilinear forms (together with Mohammad Moslehian), J. Math. Inequal. Appl. 12 (2009), No. 3, 473-709.

 

[165] Two-sided Hardy-type inequalities for monotone functions (together with Vladimir Stepanov, Moscow, and Olga Popova, Moscow), Doklady Mathematics 80 (2009), No. 3, 814-817.

 

[166] Weighted inequalities for a class of matrix operators: the case p # q (together with Ryskul Oinarov, Astana, and Ainur Temirkhanova, Astana), Math. Inequal. Appl. 12 (2009), No. 4, 891-903.

 

[167] Nonlinear Variational Methods for Estimating Effective Properties of Multiscale Materials (together with Dag Lukkassen, Narvik, and Annette Meidell, Narvik), Nonlinear analysis and variational problems 367-414. Springer Optim. Appl. 35, Springer, New York, 2010.

 

[168] Schur multiplier characterization of a class of infinite matrices (together with Anca-Nicoleta Marcoci, Bucharest,  Liviu-Gabriel Marcoci, Bucharest, and Nicolae Popa, Bucharest), Czechoslovak Math. J. 60 (2010), No. 1, 183-189.

 

[169] Some remarks and new developments concerning Hardy-type inequalities (together with Natasha Samko, Faro), Rend. Circ. Mat. Palermo, Ser II, Suppl 82 (2010), 93-122.

 

[170] Interpolation, inequalities, invariants, operators, and related topics, Preface. (together with Sergei Silvestrov, Lund, Jaak Peetre, Lund and Michael Cwikel, Haifa), Proc. Est.Acad. Sci. 59 (2010), No. 1, 1-2.

 

[171] Some new refined Hardy type inequalities with general kernels and measures(together with Shoshana Abramovich, Haifa, Kristina Krulic, Zagreb, and Josip Pecaric, Zagreb), Aequaationes Math. 79 (2010), No. 1-2, 157-172.

 

[172] Some new Stein and Hardy type inequalities (together with Stefan Samko, Faro), J. Math. Sci. 169 (2010), No. 1, 113-129.

 

[173] Some new scales of characterizations of Hardy´s inequality (together with Amiran Gogatishvili, Prague, and Alois Kufner, Prague), Proc. Est. Acad. Sci. 59 (2010), No. 1, 7-18.

 

[174] Quasi-monotone weight functions and their applications (together with Natasha Samko, Faro), American Institute of Physics 1281 (2010), 502-505.

 

[175] Singular integral equations in generalized weighted Morrey spaces  (together with Natasha Samko, Faro), American Institute of Physics 1281 (2010), 498-501.

 

[176] Generalized non-commutative Hardy and Hardy-Hilbert inequalities (together with Frank Hansen, Copenhagen, Kristina Krulic, Zagreb, and Josip Pecaric, Zagreb), International Journal of Mathematics 21 (2010), 1283-1295.

 

[177] Relations between summability of the Fourier coefficients in regular systems and functions from some Lorentz type spaces (together with Aigerim Kopezhanova, Astana, and , Erlan Nursultanov, Astana), J. Proc. A. Razmadze Inst. 152 (2010), 73-88.

 

[178] Hardy type inequalities via convexity-the journey so far (together with James Oguntuase, Abeokuta), Austral. J. Math. Anal. Appl. (2010), No. 2, Art. 18, 19 pp.

 

[179] On summability of the Fourier coefficients in bounded orthonormal systems for functions from some Lorentz type spaces (together with Aigerim Kopezhanova, Astana), Eurasian Mathematical Journal 1 (2010), No. 2, 76-85.

 

[180] Nonlinear varational methods for estimating effective properties of multiscale materials (together with Dag Lukkassen, Narvik, and Annette Meidell, Narvik), Nonlinear analysis and variational problems, Springer Optimization and its Applications 35 (2010), 367-414.

 

[181] Some remarks on a result of Bougoffa (together with James Oguntuase, Abeokuta, and Josip Pecaric, Zagreb), Austral. J. Math. Anal. Appl. (2010), No. 2, Art. 19, 5 pp.

 

[182] Two-sided Hardy-type inequalities for monotone functions (together with Olga Popova, Moscow, and Vladimir Stepanov, Moscow), Complex Var. Elliptic Equ. (2010), No. 8-10, 973-989.

 

[183] Homogenization of quasilinear parabolic problems by the method of Rothe and two-scale convergence (together with Emmanuel Essel, Cape Cosat, Komil Kuliebv, Samarkand, and Gulchehra, SamarkandAppl. Math. . (2010), No. 4, 305-327.

 

[184] Boundedness and Compactness of the Embedding between Spaces with Multiweighted Derivatives when 1 ≤ q < p (together with Ryskul Oinarov, Astana, and Zamira  Abdikalikova, Astana), Czechoslovak Math. J. 61 (2011), No. 1, 7-26.

 

[185] Weighted Hardy and potential operators in the generalized Morrey spaces (together with Natasha Samko, Faro), J. Math. Anal. Appl. 377 (2011), no. 2, 792-806.

 

[186] On spectrum of the Laplacian in a circle perforated along the boundary. Applications to a Friedrich type inequality (together with Gregory Chechkin, Moscow, Yulia Koroleva, Moscow and Peter Wall, Luleå ), Int. J. Differ. Equ. 2011, Art ID 619623, 22 pp.

 

[187] On Friedrich-type inequalities in domains perforated along the boundary (together with Yulia Koroleva, Moscow and Peter Wall, Luleå ), J. Inequal. Appl. 2011, 2011:129, 12 pp.

 

[188] On inequalities for the Fourier transform of functions from Lorentz spaces (together with Aigerim Kopezhanova, Astana and Erlan Nursultanov, Astana), Russian Academy of Sciences, Mathematical Notes 90 (2011), No. 5-6, 767-770.

 

[189] The Beckenach-Dresher inequality in direct sums of spaces and related results (together with Ljudmila Nikolova, Sofia and Sanya Varosanec, Zagreb), J. Inequal. Appl. 2012, 2012:7, 20 pp.

 

[190] Besov-Schatten spaces (together with Anca-Nicoleta Marcoci, Bucharest and Liviu_Gabriel Marcoci, Bucharest), J. Function Spaces Appl. 2012, Art. ID 693251, 13 pp.

 

[191] What should have happened if Hardy had discovered this ? (together with Natasha Samko, Faro), J. Inequal. Appl. 2012, 2012:29, 20 pp.

 

[192] Best constants between equivalent norms in Lorentz sequence spaceses (together with Sorina Barza, Karlstad and Anca Marcoci, Bucharest), J. Function Spaces Appl. 2012, Art. ID 713535, 19 pp.

 

[193] Hardy and singular operators in weighted generalized Morrey spaces with applications to singular integral equations (together with Dag Lukkassen, Narvik, Annette Meidell, Narvik, and Natasha Samko, Faro), Math. Methods Appl. Sci 35 (2012), 1300-1311.

 

[194] On products of generalized Orlicz spaces(together with Pankaj Jain, New Dehli, and Preeti Upreti, New Dehli), Math. Inequal Appl. 15 (2012), No. 3, 663-674.

 

[195] On scales of equivalent conditions characterizing weighted Stietljes inequality (together with Amiran Gogatishvili, Prague,Vladimir Stepanov, Moscow,  and Peter Wall, Luleå), Acad. Nauk. Doklady 447, No. 1, 13-14.

 

[196] Weighted Hardy Operators in Complementary Morrey Spaces (together with Dag Lukkassen, Narvik, and Stefan Samko, Faro), J. Funct. Spaces Appl. 2012, Art. ID 406540, 17 pp..

 

[197] Quasi-monotone weight functions and their characteristics and applications (together with Natasha Samko, Faro, and Peter Wall, Luleå), Math. Inequal Appl. 15 (2012), No. 3, 685-705.

 

[198] Some New Iterated Hardy-Type Inequalities (together with Amiran Gogatishvili, Prague, and Rza Mustafayev, Baku), J. Function Spaces Appl. 2012, Art. ID 734194, 30 pp..

 

[199] On the boundedness of some classes of integral operators in weighted Lebesgue spaces(together with Larissa Arendarenko, Astana, and Ryskul Oinarov, Astana), Eurasian Math. J. 3 (2012), 5-17.

 

[200] Some higher order Hardy inequalities.(together with Alois Kufner, Prague, and Komil Kuliev, Samarkand, Prague) J. Inequal. Appl 2012, 2012:69, 14 pp.

 

[201] On a new class of Hardy-type inequalities,(together with E.O. Adeleke, Abeokuta, and Alexandra Cizmesija, Zagreb and James Oguntuase, Abeokuta) J. Inequal. Appl 2012, 2012:259, 19 pp..

 

[202] On a new space of infinite matrices (together with Liviu Marcoci, Bucharest), Proc. Romanian Acad.-Ser A, 14 (2013), 269-275.

 

[203] Some new scales of refined Hardy type inequalities via functions related to superquadraticity (together with Shoshana Abramovich, Haifa Math. Inequal Appl.16 (2013), No. 3, 679-695.

 

[204] Optimal estimates in Lorentz spaces of sequences with an increasing weight (together with Soina Barza, Karlstad, Anna-Nicoleta Marcoci, Bucharest and Liviu-Gabriel Marcoci,Bucharest). Proc. Rom. Acad. Ser. A. Math.Phys. Tech. Sci. Inf. Sci. 14 (2013), No. 1, 20-27.

 

[205] Weighted Stieltjes inequality and applications(together with Amiran Gogatishvili, Prague, and Alois Kufner, Prague), Math. Nachr. 286 (2013), No. 7, 659-668.

 

[206] Some new iterated Hardy-type inequalities: the case theta =1. (together with Amiran Gogatishvili, Prague and Rza Mustafayev, Baku). J.  Inequal Appl. 2013, 2013:515, 29 pp..

 

[207] On a new space of infinite matrices. (together with Liviu-Gabriel Marcoci, Bucharest). Proc. Rom. Acad. Ser. A. Math.Phys. Tech. Sci. Inf. Sci. 14 (2013), no. 4, 269-275.

 

[208] Some new scales of refined Hardy type inequalities via functions related to superquadraticity (together with Shoshana Abramovich, Haifa), Math. Inequal.Appl. 16 (2013), no. 3, 679-695.

 

[209] Some new scales of weight characterizations of Hardy-type inequalities (together with Alois Kufner, Prague, and Natasha Samko, Luleå, Faro), Operator theory, pseudo-differential equations, and mathematical physics, 261-274, Oper. Theory Adv Appl. 228, Birkhäuser/Springer, Basel AG, Basel, 2013.

 

[210] Weighted Hardy-type inequalities in variable exponent Morrey spaces(together with Dag Lukkassen, Narvik, Stefan Samko, Faro, and Peter Wall, Luleå), J. Funct. Spaces. Appl. 2013, Art. ID 716029, 11 pp..

 

[211] Some scales of equivalent conditions to characterize the Stieltjes inequality: the case q <p (together with Amiran Gogitashvili, Prague, Vladimir Stepanov, Moscow, and Peter Wall, Luleå), Math. Nachr. 287 (2014), no. 2-3, 242-253.

 

[212] On the equivalence between some multidimensional Hardy-type inequalities (together with James Oguntuase, Abeokuta and Natasha Samko, Luleå, Faro). Banach J. Math. Anal. 8 (2014), No. 1, 1-13.

 

[213] Time scales Hardy-type inequalities via superquadracity (together with James Oguntuase, Abeokuta). Ann. Funct. Anal. 5 (2014), No. 2, 61-73

 

[214] Some new refined Hardy type inequalities with breaking points p = 2 or p = 3  (together with Shoshana Abramovich, Haifa). Concrete operators, spectral theory, operators in harmonic analysis and approximation, 1-10, Oper. Theory Adv. Appl. 236, Birkäuser/Springer, Basel, 2014.

 

[215] Weighted Hardy-type inequalities on the cone of quasi-concave functions (together with Olga Popova, Moscow, and Vladimir Stepanov, Moscow). Math.Inequal. Appl. 17 (2014), No. 3, 879-898.

 

[216] On Hardy q-inequalitieseighted Hardy-type inequalities (together with Lech Maligranda, Luleå, and Ryskul Oinarov, Astana). Czechoslovak Math. J. 64(139) (2014), No. 3, 659-682.

 

[217] Some new scales of refined Jensen and Hardy type inequalities (together with Shoshana Abramovich, Haifa, and Natasha Samko, Luleå, Faro,). Math.Inequal. Appl. 17 (2014), No. 3, 1105-1114.

 

[218] Inequalities and Convexity (together with Natasha Samko, Luleå, Faro). Operator theory, operator algebras and applications, 279-306, Oper. Theory. Adv. Appl., 242, Birkhäuser/Springer, Basel 2014.

 

[219] Some Hardy type inequalities with “broken” exponent (together with James Oguntuase, Abeokuta, and Natasha Samko, Luleå, Faro,). J. Math. Inequal. 8 (2014), No. 3, 405-416.

 

[220] Some new sharp limit Hardy-type inequalities via convexity (together with Sorina Barza, Karlstad, and Natasha Samko, Luleå, Faro,). J. Inequal. Appl. 2014.2014:6, 10 pp.

 

[221] A note on Vilinkin-Fejer means on the martingale Hardy space Hp (together with George Tephnadze, Tbilisi). Bulletin of TICMI 18 (2014), No. 1, 55-64.

 

[222] Some new results concerning a class of third-order differential equations (together with Raya Akhmetkaliyeva, Astana, Kordan Ospanov, Astana, and Peter Wall, Luleå). Appl. Anal. 94 (2015), No. 2, 420-435.

 

[223] Hardy-type inequalities on the weighted cones of quasi-concave functions (together with G.E. Shambilova, Moscow, and Vladimir Stepanov, Moscow).Banach J. Math. Anal. 9 (2015), no. 2, 21-34.

 

[224] Time scale Hardy-type inequalities with “broken” exponent p (together with James Oguntuase, Abeokuta, Fabelurin Olanrewaju , Abeokuta and Abdulaziz Adeagbo-Sheikh, Abeokuta).J. Inequal. Appl. 2015, 2015:17, 14 pp.

 

[225] Maximal operators of Vilinkin-Nörlund means (together with George Tephnadze, Tbilisi, and Peter Wall, Luleå). J. Fourier Anal. Appl. 21 (2015), no. 1, 76-94.

 

[226] A note on the best constants in some Hardy inequalities (together with Stefan Samko, Faro). J. Math, Inequal. 9 (2015), No. 2, 437-447.

 

[227] On gamma-quasiconvexity, superquadracity and two-sided reversed Jensen type inequalities (together with Shoshana Abramovich, Haifa, and Nataha Samko, Luleå, Faro). Math. Inequal. Appl. 18 (2015), No. 2, 615-628.

 

[228] Some new (Hp,Lp) type inequalities of maximal operators of Vilinkin-Nörlund means with non-decreasing coefficients (together with George Tephnadze, Tbilisi, and Peter Wall, Luleå). J. Math. Inequal. 9 (2015), No. 4, 2055-1069.

 

[229] Some new Hardy-type inequalities for Riemann-Liouville q-integral operator  (together with Serikbol Shaimardan, Astana), J. Inequal. Appl. 2015, 2015:296 (DOI 10.1186/s 13660-015-0816-z)

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[230] A new discrete Hardy-type inequality with kernels and monotone functions (together with Aigerim Kalybay, Astana, and Ainur Temirkhanova, Astana), J. Inequal. Appl. 2015, 2015:321 (DOI 10.1186/s 13660-015-0843-9).

 

[231].Hardy type operators in local vanishing Morrey spaces on fractal sets (together with Dag Lukkassen, Narvik, and Natasha Samko, Luleå, Faro). Fract. Calc. Appl. Anal, (FCAA 18 (2015), No. 2, 615-627.

 

[232] On the Nörlund means of Vilinkin-Fourier series (together with Istvan Blahota, Nyiregyhaza, and George Tephnadze, Tbilisi,). Czechoslovak Math. J. 65 (2015), 983-1002.

 

[233] Some new characterizations of Bloch type spaces of infinite matrices via Schur multipliers (together with Anca-Nicoleta Marcoci, Bucharest, Liviu-Gabrial Marcoci, Bucharest and Nicolae Popa, Bucharest). Publ. Math. Debrecen 87 (2015), No. 3-4

 

[234] Calderon-Zygmund type singular operators in weighted generalized Morrey spaces (together with Natasha Samko, Luleå, Faro, and Peter Wall, Luleå). J. Fourier Anal. Appl. 13 (2016), No. 2, 413-426.

 

[235] A sharp boundedness result concerning maximal operators of Vilinkin-Fejer means (together with George Tephnadze, Tbilisi). Mediterr. J. Math. 13 (2016),  No. 4, 1841-1853.)

 

[236] A note on the maximal operators of Vilinkin-Nörlund means with nonincreasing coefficients (together with N. Memic, Sarajevo, and George Tephnadze, Tbilisi). Studia Sci. Math. Hungarica 53 (2016), No. 2, 545-556.

 

[237] Some new Hardy-type inequalities in q-analysis (together with A.O. Baiarystanov, Astana, Serikbol Shaimardan, Astana, and Ainur Temirkhanova, Astana). J, Math. Inequal. 10 (2016), No. 3, 761-781.

 

[238 ] Some new estimates of the “Jensen gap” (together with Shoshana Abramovich, Haifa) J. Inequal Appl. 2016, 2016:39, 9 pp.

 

[239] Refinements of Hardy-type inequalities via superquadraticity (together with James Oguntuase, Abeokuta and Olanrewaju Fabelurin, Abeokuta), Publ. Math. Debrecen 88 (2016), No. 3-4, 467-476.

 

[240 ] Inequalities for averages of quasiconvex and superquadratic functions (together with Shoshana Abramovich, Haifa), Math. Inequal. Appl. 19 (2016), No. 2, 535-550.

 

[241] Some sharp inequalities for multidimensional integral operators with homogeneous kernel:: an overview and new results (together with Dag Lukkassen, Narvik, Stefan Samko, Faro, and Peter Wall, Luleå), Math. Inequal. Appl. 19 (2016), no. 2, 551-564.

 

[242] On a class of linear operators on Lp and its Schur multipliers (together with  Anca Marcoci, Bucharest), Proc. Rom. Acad. Ser. A  Math. Phys. Sci. Inf. Sci. 17 (2016), No. 2, 101-108.

 

[243] Some sharp inequalities for integral operators with homogeneous kernel (together with Dag Lukkassen, Narvik, and Stefan Samko, Faro), J. Inequal. Appl. 2016, 2016:114, 18 pp..

 

[244] A sharp boundedness result concerning some maximal operators of Vilinkin-Fejer means (together with George Tephnadze, Tbilisi), Mediterr. J. Math. 13 (2016), No. 4, 1841-1853.

 

[245] Continuous forms of classical inequalities (together with Ljudmila Nikolova, Sofia, and Sanya Varosanec, Zagreb), Mediterr. J. Math. 13 (2016), No. 5, 3483-3497.

 

[246] Sharp Hp-Lp type  inequalities of weighted operators of Vilinkin-Nörlund means and its applications (together with Lasha Baramidze, Tbilisi, George Tephnadze, Tbilisi, and Peter Wall. Luleå), J. Inequal. Appl. 2016, 2016:242, 20 pp..

 

[247] Weighted Hardy-type inequalities for supremum operators on the cones of monotone functions (together with Gulreya Shambilova, Moscow, and Vladimir Stepanov, Moscow), J. Inequal. Appl. 2016, 2016:237, 18 pp..

 

[248] Boundedness and compactness of a class of Hardy operators (together with Akbota Abylayeva, Astana, and Ryskul Oinarov, Astana), J. Inequal. Appl. 2016, 2016:324, 18 pp..

 

[249] Hardy-type inequalities with kernels: The current status and some new results (together with Alois Kufner, Prague, and Natasha Samko, Luleå), Math. Nachr.290 (2017), No. 1, 57-65.

 

[250] Some new two-sided inequalities concerning the Fourier transform (together with Aigerim Kopezhanova, Astana, and Erlan Nursultanov, Astana), Math. Inequal. Appl. 20 (2017), No. 3, 855-864.

 

[251] Historical synopsis of the Taylor reminder (together with Humberto Rafeiro. Bogota, and Peter Wall, Luleå), Note. Mat. 37 (2017), No. 1, 1-21.

 

[252] Refinements of some limit Hardy inequalities via superquadraticity (together with James Oguntuase, Abeokuta, Fabelurin Olanrewaju , Abeokuta and Abdulaziz Adeagbo-Sheikh, Abeokuta), Publ. l´Inst. Math. (Beograd) 102 (2017), 231-240.

 

[253] A new look at classical inequalities involving Banach lattice norms (together with Ljudmila Nikolova, Sofia, and Sanja Varosanec, Zagreb), J. Inequal Appl. 2017, 2017:302, 16 pp..

 

[254] Additive weighted estimates of some classes of integral operators (together with Akbota Abylayeva, Astana, A.O. Baiarystanov, Astana and Peter Wall, Luleå), J. Math. Inequal. 11 (2017), No. 3, 683-694.

 

[255] On a Taylor reminder (together with Humberto Rafeiro, Bogota). Acta. Math. Paedagog. Nyházi 33 (2017), No. 2, 195-198.

 

[256]The way to the top of science of professor R. Oinarov (dedicted to the 70th birthday of professor Ryskul Oinarov), Eurasian Math. J. 8 (2017), No. 2, 9-21.

 

[257]Fejer and Hermite-Hadamard Type Inequalities for Quasiconvex Functions (together with Shoshana Abrahimovich, Haifa), Math. Notes Acad. Sci. 102 (2017), No. 5-6, 599-609.

 

[258] A new generalization of the Boas theorem for some Lorentz spaces (together with Aigerim Kopezhanova, Astana, and Erlan Nursultanov, Astana), J. Math.Inequal. 12 (2018), No. 3, 619-633.

 

[259] Hardy type inequalities and compactness of a class of integral operators with logarithmic singularities (together with Akbota Abylayeva, Astana), Math.Inequal. Appl. 21 (2018), No. 1, 201-215.

 

[260] Multi-dimensional Hardy-type operators in Hölder spaces (together with Evgeniya Burtseva, Luleå, Staffan Lundberg, Luleå and Natasha Samko, Luleå), J. Math. Inequal. 12 (2018) , No. 3, 719-729.

 

[261] Extensions and Refinements of Fejer and Hermite-Hadamard Type Inequalities (together with Shoshana Abrahimovich, Haifa), Math. Inequal. Appl. 21 (2018), No. 3, 759-772.

 

[262] Hardy-type inequalities in fractional h-discrete calculus (together with Ryskul Oinarov, Astana, and Serikbol Shaimardan, Astana), J. Inequal. Appl. 2018, 2018:73, 14 pp..

 

[263] Necessary and sufficient conditions for the boundedness of weighted Hardy operators in Hölder spaces (together with Evgeniya Burtseva, Luleå, Staffan Lundberg, Luleå and Natasha Samko, Luleå), Math. Nachr. 291 (2018), No. 11-12, 1655-1665.

 

[264] Weighted Hardy-type inequalities involving convex function for fractional calculus operatorseces (together with Sajid Iqbal, Mianwali, Josip Pecaric, Zagreb and Zivorad Tomovski, Macedonia ), Trans. A Razmadze Math. Inst. 172 (2018) , No. 2, 205-222.

 

[265]On an approximation of 2-dimensional Walsh-Fourier series in martingale Hardy spaces (together with George Tephnadze, Tbilisi, and Peter Wall, Luleå), Ann. Funct. Anal. 9 (2018), No. 1, 137-150.

 

[266] On some power means and their geometric constructions (together with Ralph Höjbakk, Narvik, Dag Lukkassen, Narvik, and Annette Meidell, Narvik), Math. AEterna 8 (2018), No. 3, 139-158.

 

[267] On the logarithmic means with respect to Vilinkin system in the Martingale Hardy space (together with George Tephnadze, Tbilisi, and Peter Wall, Luleå), Acta Math. Hungar. 154 (2018), No. 2, 289-301.

 

[268]Two-sided estimates of the Lebesgue constants with respect to Vilinkin systems and applications (together with Istvan Blahota, Nyiregyhaza, and George Tephnadze, Tbilisi), Glasgow Math. J. 60 (2018), No. 1, 17-34.

 

[269]Some inequalities for Cesàro means of double Vilinkin-Fourier series (together with Tsitsino Tepnadze, Tbilise) J. Inequal. Appl., 2018, 2018: 352 (17 pages).

 

[270]A sharp boundedness result for restricted maximal operators of Vilinkin-Fourier series on martingale Hardy spaces (together with Istvan Blahota, Nyiregyhaza, Karol Nagy, Nyiregyhaza, and George Tephnaze, Tbilisi) Georgian Math. J. 26 (2019), 351-360. Published on line 20 Sept 2018

 

[271] Multidimensional Hardy-type inequalities on time scales with variable exponents (together with O.O. Fabelurin, Abeokuta, and James.A. Oguntuase, Abeokuta), J. Math. Inequal. 13 (2019), No. 3, 725-736.

 

[272] Hardy-type inequalities over bolls in R^N for some bilinear and iterated operators (together with Pankaj Jain, New Dehli, and S. Kanjilal, New Dehli,), J. Inequal. Spec. Funct. 10(2019), 35-48.

 

[273] Some Fourier inequalities for orthogonal systems in Lorentz-Zygmund spaces (together with Gabdolla Akishev, Astana, and Andreas Seger, Narvik), J. Inequal. Appl. (JIA), (2019), 2019:171 (18 pages).

 

[274] Josip Pecaric-and his life in mathematics and politics (together with A.A. Aljinovic, Zagreb, and Ivan Peric, Zagreb), Math. Inequal Appl. 22(2019), no. 4, 1087-1080.

 

[275]  Equivalent integral conditions related to bilinear Hardy-type inequalities (together with S Kanjilal, New Dehli, and Guldarya Shambilova, Moscow),  Math. Inequal. Appl. 22 (2019), no. 4, 1535-1548.

 

[276] Some new inequalities involving the Hardy operator (together with Ljudmila Nikolova, Sofia, and Natasha Samko, Algarve), Math. Nachr. 293 (2020), no. 2, 376-385., Online version 10 July 2019.

 

[277] Some new refinements of Hardy-type inequalities (together with James Oguntuase, Abeokuta, O.O. Fabelurin, Abeokuta and O. Adeleke, Abeokuta), J. Math. Anal. 11 (2020), no. 2 123-131 (URL: www.ilirias.com/jma)

 

[278] A new look on the Single Ladder Problem (SLP) via integer parametric solutions of the corresponding quartic equation (together with Ralph Höjbakk, Oslo, Dag Lukkassen, Narvik, and Annette Meidell, Narvik) MDPI, Mathematics 8 (2020), no. 2, article 267, 21 pp (doi:10:3090/math8020267)

 

[279] Some new Hermite-Hadamard and Fejer type inequalities without convexity/concavity (together with Shoshana Abramovich, Haifa), Math. Inequal Appl.,23 (2020). no. 2, 447-458.

 

[280] On the boundedness of Vilinkin-Fejer means on the martingale Hardy spaces (together with George Tephnadze, Tbilise, and Georgi Tutberidze, Tbilise), Operators and Matrices 14 (2020), no. 1, 283-294.

 

[281] A new fractional order Poincaré inequality with weights (together with Farman Mamedov, Baku, and Nazira Mammadzade, Baku), Math. Inequal Appl. 23 (2020), no. 2, 611-624.

 

[282]  Some new Fourier inequalities for unbounded orthogonal systems in Lorentz-Zygmund spaces (together with Gabdolla Akishev, Astana, and Dag Lukkassen, Narvik), J. Inequal. Appl. 2020. 77 (2020), 12 pp.

 

[283] Rearrangements and Jensen type inequalities related to convexity, superquadracity, strong convexity and 1-quasiconvexity (together with Shoshana Abramovich, Haifa), J. Math Inequal. 14 (2020), no. 3, 641-659.

 

[284] Some inequalities related to strong convergence of Riesz logarithmic means (together with Dag Lukkassen, Narvik, George Tephnadze, Tblisi, and Georgi Tutberidze, Tblisi), J. Inequal. Appl. 2020, 79 (2020), 17 pp.

 

[285] Weighted iterated discrete Hardy-type inequalities, Math. Inequal. Appl. (together with Gaziza Omarbayeva, Astana, and Ainur Temirkanova, Astana), Math. Inequal Appl.23 (2020), 943-959.

 

[286] Inequalities for the Fourier coefficients in unbounded orthogonal systems in generalized Lorentz spaces (together with Gabdolla Akishev, Astana, and Harpal Singh, Narvik), Nonlinear Stud.27 (2020), no. 4, 1137-1155.

 

[287] Existence of some Cauchy type problems in fractional q-difference calculus (together with Serikbol Shaimardan, Astana, and Nariman Tokmangambetov, Astana), Filomat 34 (2020), , no. 13, 4429-4444.

 

[288] F. Altomare-the remarkable mathematician and human being (together with Mirella Cappelleti Montano, Bari, and Vita Leonessa, Potenza), J. Constr. Math. Anal. 1 (2021), no. 1, 1-19.

 

[289] On weighted Fourier inequalities-Some new scales of equivalent conditions (together with Alois Kufner, Prague, and Natasha Samko, Faro), J. Math. Inequal. 15(2021), no.2, 879-898.

 

[290] Refinements of continuous forms of classical inequalities (together with Ljudmila Nikolova, Sofia, and Sanja Varosanec, Zagreb), Eurasian Math J. 12(2021), no. 2, 1385-1395.

 

[291] Some new Fourier and Jackson-Nikolskii type inequalities in unbounded orthonormal systems (together with Gabdolla Akishev, Astana, and Harpal Singh, Narvik), Constr. Math. Anal. 4 (2021), no. 3, 291-304.

 

[292] Strong summability result of Vilinkin-Fejer means on bounded Vilinkin groups (together with George Tephnadze, Tbilise and Georgi Tutberidze, Tbilise, Ukr. Math. J. 73 (2021), no. 4, 544-555.

 

[293] Some Hardy-type inequalities in Banach function spaces (together with Sorina Barza. Karlstad, Ljudmila Nikolova, Sofia, and Markos Yimer, Addis Abeba),  Math. Inequal. Appl. 24 (2021), no. 4, 1001-1016.

 

[294] Some  new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series  (together with Davit Baramidze, Tbilise, Harpal Singh, Narvik, and George Tephnadze, Tbilise),  J. Inequal. Appl. 2022, 2022:30, 13 pp.

 

[295] An analogy of the Carleson-Hunt theorem with respect to the Vilenkin system  (together with Ferenc Schjpp, Budapest, George Tephnadze, Tbilise, and Ferenc Weisz, Budapest),  J. Fourier Anal. Appl., no. 3, Paper no. 63, 15 pp.

 

[296] Continuous refinements of some Jensen-type inequalities via strong convexity and  applications (together with Ljudmila Nikolova. Sofia, and Sanja Varosanec, Zagreb),  J. Inequal. Appl. 2022, 2022:63, 15 pp.

 

[297] Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods (together with N. Nadritashvili, Tbilise,  George Tephnadze, Tbilise, and Ferenc Weisz, Budapest),  Mediterr. J. Math. 19 (2022), no. 5, Paper no. 239, 16 pp.

 

[298] Refinements of some classical inequalities via superquadraticity (together with Ljudmila Nikolova, Sofia, Sanja Varosanec, Zagreb, and Markos Yimer, Addis Abeba),  J. Inequal. Appl. 2022, 2022:86, 15 pp.

 

[299] Refinements of Bennett type inequalities (together with James Oguntuase, Abeokuta, and E. Adeleke),  Math. Inequal. Appl. 26 (2023), no.1. 183-193.

 

[300] Hp-Lp-type inequalities for subsequences of Nörlund means of Walsh-Fourier series  (together with Davit Baramidze, Tbilise, Kristoffer Tangrand, Narvik, and George Tephnadze, Tbilise),  J. Inequal. Appl. 2023, 2022:52, 15 pp.

 

[301] On the heat and wave equations with the Sturm-Liouville operator in quantum calculus (together with Serikbol Shaimardan, Astana, and Nariman Tokmangambetov, Astana),  Abstr. Anal. Appl. 2023, Art. ID 2488165, 8 pp.

 

[302] Some new restricted maximal operators of Féjer means of Walsh-Fourier seriesinequalities for subsequences of Nörlund means of Walsh-Fourier series  (together with Davit Baramidze, Tbilise, Lascha Baramidze, Tbilise, and George Tephnadze, Tbilise), Banach J. Math. Anal. 17(2023), no. 4. Paper No. 75, 20 pp.

 

[303] Some new refinements of the Young, Hölder and Minkowski inequalities (together with Ljudmila Nikolova, Sofia, and Sanja Varosanec, Zagreb), J. Inequal. Appl. 2023, 2023:28, 15 pp.

 

[304] Some new weak Hp-Lp type inequality for weighted maximal operators of partial sums of Walsh- Fourier series (together with Davit Baramidze, Tbilise, Harpal Singh, Narvik, and George Tephnadze, Tbilise), Mediterr J. Math. 20(2023), no. 5, Paper No. 284, 13 pp.

 

[305] Well-posedness of heat and wave equations generated by Rubin´s q-difference operator in Sobolev spaces  (together with Serikbol Shaimardan, Astana, and Nariman Tokmangambetov, Astana),  Filomat 37 (2023), no. 17, 5799-5812.

 

[306] Some weak type  inequalities and almost everywhere convergence of Vilinkin-Nörlund means (together with Davit Baramidze, Tbilise, N. Naddrirashvili, Tbilise, and George Tephnadze, Tbilise), J. Inequal. Appl. 2023, 2023:66, 17 pp.

 

[307] Properties of some functionals on BV with applications (together with V. Tsagareishvili, Tbilise,  and George Tutberidze, Tbilise), Nonlinear Stud. 30(2023), no. 4, 10 pp.

 

[308] Some new Hp-Lp type  inequalities for weighted maximal operators of partial sums of Walsh-Fourier series (together with Davit Baramidze, Tbilise, and George Tephnadze, Tbilise), Positivity 27 (2023), no. 23, Paper No. 38, 14 pp.

 

[309] Sharpness of some Hardy-type inequalities (together with Natasha Samko, Narvik, Narvik, Faro, and George Tephnadze, Tbilisi), J. Inequal Appl.2023, Article Number 155 (2023), 18 pp.

 

[310] Some new multidimensional Cochran-Lee and Hardy-type inequalities (together with Tsegave Ayele, Addis Abeba, and , Markos Yimer, Addis Abeba), Math. Inequal Appl. 26(2023), , no. 4,  887-903.

 

[311] On Hardy-type inequalities as an intellectual adventure for 100 years  (together with Natasha Samko, Narvik, Faro), J. Math,.Sci.,(2024), 22 pp.,  https://doi.org/10.1007/s10958-023-06807-1

 

[312] Oscillatory and spectral properties of a class of fourth-order differential  operators via a new Hardy-type inequality (together with Ryskul Oinarov, Astana, and , Aigerim Kalybay, Almaty), Math. Inequal.  Appl. 27 (2024), no. 1, 63-83.

 

[313] Continuous inequalities: Introduction, examples and related topics (together with Joachim Ågotnes, Narvik, Ljudmila Niklova, Sofia, and Sanja Vaosanec, Zagreb), Book chapter, Birkhäuser/Springer, to appear, 8 pp.

 

[314] On generalized sharpness of some Hardy-type inequalitieson (together with Joachim Jörgensen Ågotnes, Narvik, Ljudmila Niklova, Sofia, and Sanja Varosanec, Zagreb), Book chapter, Birkhäuser/Springer, to appear, 8 pp.

…..

[315] Some new Hp-Lp-type inequalities for weighted maximal operators of Féjer means of Walsh-Fourier series (together with Davit Baramidze, Tbilisi, Dag Lukkassen, Narvik and Annette Meidell, Narvik) 2023, submitted, 12 pp.

.

 

Publications in Proceedings of international conferences,etc. in mathematics, applied mathematics

 

[1] A note on some homogenization methods (together with Nils Svanstedt, Göteborg), Proceedings from the conference in Industrial Mathematics, Trondheim, August 1992, ISBN N0. 82-7151-092-4, 1993, 145-150 (Ed: Harald Krogstad).

 

[2] On reiteration between families of Banach spaces (together with Ljudmila I. Nikolova, Sofia), Ann. Univ. Sofia 86, 1992, 1-11.

 

[3] Some new generalizations and complements of classical inequalitie, Publicationes del Departamento de Analisis Matematico, Universidad Complutense, Spain, 1994, 102-116 (Ed: Fernando Cobos).

 

[4] On some sharp bounds for the effective conductivity (together with Dag Lukkassen, Narvik, and Peter Wall, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/1 (Ed: David Hui), New Orleans, August 28-31, 1994, 855-856.

 

[5] A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations (together with Peter Wall, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/2 (Ed: David Hui), New Orleans, August 21-24, 1995, 587-588.

 

[6] Convexity, concavity, type and cotype of Lorentz spaces (together with Anna Kaminska, Memphis, and Lech Maligranda, Luleå), Seminaire d’Initiation a l’Analyse, G. Choquet, G. Godefroy, M. Rogalski, and J. Saint Raymond (eds.), 35 me Annee, 1995/1996, Exp. 20, 11 pages.

 

[7] On the homogenization method as a useful tool for solving problems in composites engineering (together with Peter Wall, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/3 (Ed: David Hui), New Orleans, July 1996, 603-604.

 

[8] A note on fractional order Hardy inequalities (together with Alois Kufner, Prag). Proceedings of the conference “Boundary value problems, special functions and fractional calculus”, Minsk, Belarus, February 16-20, Minsk 1996, 190-194.

 

[9] Type, cotype and convexity properties of Orlicz spaces (together with Anna Kaminska, Memphis, and Lech Maligranda, Luleå), Publicationes del Departamento de Analisis Matematico, Universidad Complutense, Spain, 1996, 113-126 (Ed: Jesus Angel Jarmillo).

 

[10] Computing effective conductivities by bounds and numerical methods (together with Johan Byström, Luleå, Dag Lukkassen, Narvik, and Anneli Pavval, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/4 (Ed: David Hui), Hawaii, July 1997, 199-200.

 

[11] Computing effective conductivities by bounds and numerical methods (together with Johan Helsing, Lund and Peter Wall, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/4 (Ed: David Hui), Hawaii, July 1997, 855-856.

 

[12] Symmetries for a class of explicitely space- and timedependent (1+1)-dimensional wave equations (together with Marianna Euler, Norbert Euler and Ove Lindblom, Luleå), Proceedings of the Second International Conference: Symmetry in Nonlinear Mathematical Physics, Kiev, 1997, Vol 1. 1997, 70-78.

 

[13] The higher dimensional Batemanequation and Painlave analysis of nonintegrable wave equations (together with Marianna Euler, Norbert Euler and Ove Lindblom, Luleå), Proceedings of the Second International Conference: Symmetry in Nonlinear Mathematical Physics, Kiev, 1997, Vol 1. 1997, 185-192.

 

[14] On optimal design of two phase materials by using homogenizations (together with Annette Meidell, Narvik, and Peter Wall, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/4 (Ed: David Hui), Hawaii, July 1997, 653-654.

 

[15] The local behavior of the solutions of nonlinear homogenization problems (together with Peter Wall, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/5 (Ed: David Hui), Las Vegas, July 1998, 929-930.

 

[16] Using reiterated homogenization for stiffness computation of woven composites (together with Johan Byström, Luleå, Normund Jekabsons, Luleå, and Janis Varna, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/5 (Ed: David Hui), Las Vegas, July 1998, 133-134.

 

[17] Generalized Clarkson’s inequalities and Rademacher type and cotype (together with Mikio Kato Kyushu, and Yasuji Takahashi, Okayama), Proceedings of the Real Analysis Symposium 1999, Sapporo, Japan, 144-153.

 

[18] A low-complexity PAR-reduction method for DMT-VDSL (together with Per Ola Börjesson, Hans G. Feichtinger, Niklas Grip, Mikael Isaksson, Norbert Kaiblinger and Per Ödling), Proceedings of the 5th International Symposium on Digital Signal Processing for Communication Systems (DSPCS’99), Perth, Australia, February 1999, 164-169.

 

[19] DMT PAR-reduction by weighted cancellation waveforms (together with Per Ola Börjesson, Hans G. Feichtinger, Niklas Grip, Mikael Isaksson, Norbert Kaiblinger and Per Ödling), Proceedings of the conference “Radiovetenskap och kommunikation 99″ (RVK 99), Karlskrona, Sweden, June 1999.

 

[20] A comparison of different homogenization models and experimental results (together with Johan Byström, Luleå, and Normund Jekabsons Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/5 (Ed: David Hui), Orlando, July 1999.

 

[21] Jaak Peetre, the man and his work (together with Michael Cwikel, Haifa, Richard Rochberg, St. Louis, and Gunnar Sparr, Lund), In: Function Spaces, Interpolation Theory and Related Topics (Eds: M. Cwikel et. al.), Proceedings of the conference with the same title held in Lund, August 2000, in honour to Professor Jaak Peetre on the occasion of his 65th birthday , Walter de Greuter, Berlin, 2000, 1-37.

 

[22] Reiterated homogenization with applications to autopart construction (together with Niklas Bylund, Volvo, Gothenburg, and Johan Byström, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/7 (Ed: David Hui), Tenerife, July 2001.

 

[23] Automatic detection of local bearing defects in rotating machines (together with Stefan Ericsson, Luleå, Niklas Grip, Luleå, Elin Johansson, Luleå, Ronny Sjöberg, Luleå, and Jan-Olov Strömberg, Stockholm), final report of the ITM supported project “Expert Systems for Vibration Analysis”, Luleå University of Technology, 2001 (71 pages).

 

[24] Random Versus Periodic Cells in Homogenization (together with Johan Byström and Jonas Engström, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/9 (Ed: David Hui), San Diego, July 2002.

 

[25] Degeneracy in stochastic homogenization (together with Johan Dasht and Jonas Engström, Luleå), Proceedings of the International Conference on Composites Engineering, ICCE/10 (Ed: David Hui), New Orleans, July 2003.

 

[26] Scales of  weight characterizations for the discrete Hardy inequality (together with Christopher Okpoti, Akkra, and Anna Wedestig, Luleå), Proc. Conf. Function Spaces, Differential Operators and Nonlinear Analysis (FSDONA 2004), Math. Institute, Acad. Sci. Czech Republic, Milovny, 2005, 236-258.

 

[27] Refinement of Hardy´s inequality for “all” p (together with James A. Oguntuase, Abeokuta), Proc. Int. Symp. on Banach and Function Spaces (ISBFS 2006), 129-144,  Eds: M. Kato and L. Maligranda, Yokahama Publishers, 2008.

 

[28] On Friedrichs-type estimates in domains with rapidly vanishing perforation along the boundary (together with Yulia Koroleva, Moscow, and Peter Wall, Luleå), In: Differential Equations and Related Topics: Dedicted to the Centenary Anniversity of Ivan G. Petrovskii , May 29-June 4, 2011, Moscow University Press, 2011,  65-66.

 

[29] Gunnar Sparr: the remarkable mathematician, entrepreneur and ambassador for mathematics, In: Analysis for science, engineering and beyond: the tribute workshop in honour of Gunnar Sparr, Lund, 2008, Eds: K. Åström, S.D. Silvestrov and L.E. Persson, Springer Proceedings in Mathematics, 2012, Ch. 10, 267-304.

 

[30] Multidimensional inequalities of Hardy and (limit) Polya-Knopp types (together with Maria Johansson, Luleå), In: Analysis for science, engineering and beyond: the tribute workshop in honour of Gunnar Sparr, Lund, 2008, Eds: K. Åström, S.D. Silvestrov and L.E. Persson, Springer Proceedings in Mathematics, 2012, Ch. 1, 1-22.

 

[31] A Lizorkin theorem on Fourier series multipliers for strong regular systems (together with Lyazzat Sarybekova, Astana, and Nazerke Tleukhanova, Astana), In: Analysis for science, engineering and beyond: the tribute workshop in honour of Gunnar Sparr, Lund, 2008, Eds: K. Åström, S.D. Silvestrov and L.E. Persson, Springer Proceedings in Mathematics, 2012, Ch. 11, 305-317.

 

[32] Commutators of Hardy operators in vanishing Morrey spaces (together with Alessandra Ragusa, Catania, Natasha Samko, Faro, and Peter Wall, Luleå), In: 9^th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2012, Ed: S. Sivasundaram, American Institute of Physics, AIP Proceedings Series 1493, 859-866.

 

[33] On some new developments of Hardy-type inequalities (together with Shoshana Abramovich, Haifa, and Natasha Samko, Faro), In: 9^th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2012, Ed: S. Sivasundaram, American Institute of Physics, AIP Proceedings Series 1493, 739-746.

 

[33] Potential type operators in PDEs and their applications (together with Evgeniya Burtseva, Luleå, Staffan Lundberg, Luleå and Natasha Samko, Luleå), In: 11^th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2017, Ed: S. Sivasundaram, American Institute of Physics, AIP Proceedings Series  2017.

 

[34] On continuous versions of some norm inequalities (together with Ljudmila Nikolova, Sofia, and Sanja Varosanec, Zagreb), In: Proceedings of the Conference “Modern Problems of the Analysis. Applications in Technique and Technology”, Voronezh, Sept 2017, Actual directions of scientific research of XXI century. Theory and Practize. (Ed: M. Drapaljuk), Springer, 2017, 97-100 (in Russian).

 

1. Publications in didactics of mathematics etc.

 

[1] När är ab = ba? (When is ab = ba?), Elementa, No. 1, 1980, 7-11 (in Swedish).

 

[2] Problem av misstag (Problems by mistakes), Elementa, No. 2, 1980, 8-12 (in Swedish).

 

[3] Några tankar kring ett problem i Svenska Dagbladets matematiktSvling (some thoughts in connection with the competition in Mathematics in “Svenska Dagbladet” (a Swedish newspaper)), Elementa 66, No. 2, 1983, 76-84 (in Swedish).

 

[4] Creative teaching by mistakes (together with Andrejs Dunkels, Luleå), Two Year Coll. Math. J., Vol. 11, No.5, 1990, 296-300.

 

[5] Wladyslaw Orlicz (1903-1990)-in memory (together with Lech Maligranda Poznan, Caracas, Luleå), Notices of AMS, January 1991, p.21.

 

[6] A note on an inequality of Hardy-Littlewood-Polya (together with Josip E. Pecaric, Zagreb), The Mathematical Gazette, Vol. 79, Nr. 485 (1995), 383-385.

 

[7] Matematik som generator vid ett tekniskt universitet i tiden (Mathematics as generator at a modern technical university), Didaktik och TillSmpningar, Vol. 1, Nr. 2, 1996 (14 pages), Insaugural speech, November 14, 1996 (in Swedish).

 

[8] Kvinnor och matematik – några personliga erfarenheter (Females and mathematics-some personal experiences), Proceedings of the conference “Kvinnor och matematik” (Females and mathematics), Uppsala 1999 (in Swedish).

 

[9] Kvinnor och matematik – några personliga erfarenheter, del II(Females and mathematics-some personal experiences, part II), Proceedings of the conference “Kvinnor och matematik” (Females and mathematics), Kristianstad 12-14 april 2002, ISBN 91 972068 30 (Eds: B. Grevholm and L. Lindberg), 93-107 (in Swedish).

 

[10] Tillämpad matematik-en populär introduction för lärare och ingenjörer (Applied mathematics-a popular introduction for teachers and engineers), (together with Johan Byström, Luleå), Proceedings of the conference  “Kvinnor och matematik” (Females and mathematics), Kristianstad 12-14 april 2002, ISBN 91 972068 30 (Eds: B. Grevholm and L. Lindberg), 37-48 (in Swedish).

 

[11] En dynamisk modell för handledning av doktorander och handledare i forskargrupper (A dynamical model for supervising PhD students and supervisors in research groups),  (together with Barbro Grevholm, Agder, Kristianstad, and Peter Wall, Luleå), Proceedings of the conference ” Den första nordiska forskarhandledningskonferensen” (The first nordic conference for PhD supervisors), Umeå 13-15 maj 2003, Skriftserie från Universitetspedagogiskt centrum, Umeå 2004:2 (Eds: Å Bergenheim and K. Ågren), 37-68 (in Swedish).

 

[12] A dynamic model for education of doctoral students and guidance of supervisors in research groups (together with Barbro Grevholm, Agder, Kristianstad, and Peter Wall, Luleå), Educational Studies of Mathematics 60/2 (2005), 145-170.

 

[13] Some aspects on web-courses in mathematics based on PC screen recorded video lectures (together with Dag Lukkassen, Narvik, and Anna Sierpinska, Canada), NOMAD (2007), No. 4, 1-11.

 

[14] Ett mentorprojekt för gymnasieelever I Luleå  (together with Barbro Grevholm, Agder, Josefin Lundqvist, Luleå and Peter Wall, Luleå), Nämnaren (2012), 33-37 (in Swedish).

 

1. Further publications in mathematics/applied mathematics

[1] Absolute convergence of Fourier series of convolution functions, Research report 8, Dept. of Math., Umeå University, 1972 (11 pages).

 

[2] Vector Analysis (together with Björn von Sydow, Göteborg), Luleå University (1980), (105 pages).

 

[3] On a possibility to describe some interpolation spaces, Research report 4, Dept. of Math., Luleå University, 1984 (30 pages).

 

[4] Real interpolation between cross-sectional Lp-spaces in quasi-Banach bundles, Research report 1, Dept. of Math., Luleå University, 1986 (17 pages).

 

[5] On some generalized Orlicz classes and spaces, Research report 3, Dept. of Math., Luleå University, 1988 (11 pages).

 

[6] Real interpolation of Banach spaces (together with Ludmila I. Nikolova), Research report 1996:23, Dept. of Math., Luleå University of Technology, ISSN 1101-1327 (20 pages).

 

[7] Invariance and integrability properties of some nonlinear relativistic wave equations (together with Marianna Euler, Norbert Euler and Ove Lindblom, Luleå), Research report 1997:5, Dept. of Math., Luleå University of Technology, ISSN 1400-4003 (45 pages).

 

[8] The Hardy Inequality- about its History and Current Status, Research report 2002:06, Dept. of Math., Luleå University of Technology, ISSN 1101-1327 (16 pages).

 

[9] Homogenization of the Reynolds Equation (together with Andreas Almqvist, Johan Dasht, Sergyi Glavatskih, Roland Larsson, Fredrik Sahlin, Pär Marklund, and Peter Wall, Luleå), Research report 2005:03, Dept. of Math., Luleå University of Technology, ISSN 1101-1327 (47 pages).

 

[10] Modeling and Simulation of Run-up Waves on a Sloping Beach Extended with an Artificial Bottom: The case of Alongshore Independency (together with Narsis Mtega, Dar es Salaam, and Bertil Gustafsson, Uppsala, Research report 2006.08, Dept. of Math., Luleå University of Technology, ISSN 1101-1327 (15 pages).

 

[11]Lecture Notes, Pierre Louis Lions seminar), College de France, November 2015 (77 pages).