Publications of Sanja Varošanec


  1. S. Varošanec, The Hermite-Hadamard inequality for $M_{\varphi}M_{\psi}$-$h$-convex functions and related interpolations, Rad HAZU. Forthcoming papers

  2. M. Bombardelli, S. Varošanec, Strongly $M_\varphi M_\psi$-convex functions, the Hermite-Hadamard-Fejer inequality and related results, Annales Mathematicae Silesianae (2023) doi: 10.2478/amsil-2023-0019

  3. S. Varošanec, A note on the Pinelis extension of Stolarsky's inequality, Mathematica Pannonica New Series, 29/NS 3/(2023) 2, 188-194.

  4. S. Varošanec, New Chebyshev-type inequalities for the generalized Riemann-Liouville fractional integral with respect to an increasing function, J. Math. Inequal. 17(2023)(4), 1351-1361.

  5. Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec, Some new refinements of the Young, Holder and Minkowski inequalities, J. Inequal. Appl. (2023) 2023:28.

  6. S. Varošanec, $M_\varphi A$-$h$-convexity and Hermite-Hadamard type inequalities, International Journal of Analysis and Applications (2022), 20:36.

  7. Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec, Markos Fisseha Yimer, Refinements of some classical inequalities via superquadraticity, J. Inequal. Appl. (2022) 2022:86.

  8. Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec, Continuous refinements of some Jensen-type inequalities via strong convexity with applications, J. Inequal. Appl. (2022) 2022:63.

  9. M. Bombardelli, S. Varošanec, $M_\varphi M_\psi$ -convexity and separation theorems, J. Inequal. Appl. (2022) 2022:65.

  10. J. Pečarić, Jurica Perić, S. Varošanec, Refinements of the converse Holder and Minkowski inequalities, Mathematics 2022, 10, 202.

  11. L. Nikolova, L.E. Persson, S. Varošanec, Refinement of continuous forms of classical inequalities inequalities, Eurasian Math. J. 12(2), (2021) 59-73.

  12. Asif R. Khan, J. Pečarić, M. Praljak, S. Varošanec, Positivity of Sums and Integrals for n-Convex Functions via Abel-Gontscharoff's Interpolating Polynomial and Green Functions, Southeast Asian Bulletin of Mathematics 45(2021) Issue 2, 197-216.

  13. L. Nikolova, S. Varošanec, Continuous forms of Gauss-Polya type inequalities involving derivatives, Math. Inequal. Appl. 22(4), (2019), 1385-1395.

  14. S. Varošanec, Functionals related to Gauss-Polya type inequalities involving derivatives, Results Math., 74(2019), Art. 53.

  15. Asif R. Khan, J. Pečarić, M. Praljak, S. Varošanec, Positivity of sums and integrals for n-convex functions via the Fink identity, Turkish Journal of Mathematics, 43(2019), 579-594.

  16. L. Nikolova, S. Varošanec, Cauchy and Polya-Szegoe type inequalities involving two linear isotonic functionals, J. Math. Inequal. 12(2), (2018), 325-338.

  17. Asif R. Khan, J. Pečarić, M. Praljak, S. Varošanec, Positivity of sums for n-convex functions via Taylor's formula and Green function, Advanced Studies in Contemporary Mathematics, 27(4), (2017), 515-537.

  18. L. Nikolova, L.E. Persson, S. Varošanec, A new look at classical inequalities involving Banach lattice norms, Journal of Inequalities and Applications, (2017) 2017:302

  19. L. Nikolova, L.E. Persson, S. Varošanec, On continuous versions of some norm inequalities Proceedings of the Conference Modern problems of the analysis of dynamic systems. Applications in technique and technology (September 18-20, 2017., Voronezh, 100 years of birth of Prof. Krein), Vol 5, Issue 8, part 2, (2017) pages 97-100.

  20. M. Bombardelli, L. Nikolova, S. Varošanec, Unified treatment of fractional integral inequalities via linear functionals, Miskolc Mathematical Notes, 18(1) (2017), 139-154.

  21. L. Nikolova, S.Varošanec, Chebyshev-Gruess type inequalities on time scales via two linear isotonic functionals, Math. Inequal. Appl. 19(4), (2016), 1417-1427.

  22. S. Varošanec, Properties of $q$-gamma and $q$-beta functions derived from the $q$-Gauss-Polya inequalities, AJMAA= Australian Journal of Mathematical Analysis and Applications, 13(1), (2016), pp.1-10, Article 4.

  23. L. Nikolova, L.E. Persson, S. Varošanec, Continuous forms of classical inequalities, Mediterr. J. Math. 13 (2016), 3483-3497.

  24. L. Nikolova, S. Varošanec, Chebyshev and Gruess type inequalities involving two linear functionals and applications, Math. Inequal. Appl. 19(1) (2016), 127-143.

  25. Asif R. Khan, J. Pečarić, S. Varošanec, Positivity of sums and integrals for convex functions of higher order of n variables, Math. Inequal. Appl. 19(1) (2016), 221-247.

  26. L. Nikolova, S. Varošanec, Functionals related to the DEC inequality, J. Math. Inequal. 9(4) (2015), 1227-1243.

  27. S. Varošanec, A thousand papers of Josip Pečarić, J. Math. Inequal. 9(4) (2015), 961-981.

  28. L. Nikolova, S. Varošanec, Properties of mappings generated with inequalities for isotonic linear functionals, Proceedings of CONSTRUCTIVE THEORY OF FUNCTIONS, Sozopol 2013 (editors K. Ivanov, G. Nikolov and R. Uluchev), Prof. Marin Drinov Academic Publishing House, Sofia, 2014, pp. 199-215.

  29. S. Varošanec, Superadditivity of functionals related to Gauss' type inequalities, Sarajevo Journal of Mathematics, Vol.10(22), No.1., (2014) 37-45.

  30. L. Nikolova, S. Varošanec, Properties of some functionals associated with h-concave and quasilinear functions with applications on inequalities, Journal of Inequalities and Applications 2014, 2014:30.

  31. Rabia Bibi, Martin Bohner, J. Pečarić, S. Varošanec, Minkowski and Beckenbach- Dresher inequalities and functionals on time scales, Journal of Mathematical Inequalities, Vol 7, No 3, (2013), 299-312.

  32. Ludmila Nikolova, S. Varošanec, Geometric constants for Banach spaces with absolute normalized norms which corresponding functions are comparable, Journal of Nonlinear and Convex Analysis, Vol 14, No 3, (2013) 529-549.

  33. Asif R. Khan, J. Pečarić, S. Varošanec, Popoviciu type characterization of positivity of sums and integrals for convex functions of higher order, Journal of Mathematical Inequalities, Vol 7, No 2, (2013), 195-212.

  34. Asif R. Khan, J. Pečarić, S. Varošanec, On some inequalities for functions with nondecreasing increments of higher order, Journal of Inequalities and Applications (2013), 2013:8.

  35. Ludmila Nikolova, L.E. Persson, S. Varošanec, The Beckenbach--Dresher inequality in the $\psi$-direct sums of spaces and related results, Journal of Inequalities and Applications 2012, Vol. 2.

  36. Ahmet Ocak Akdemir, M. Emin Ozdemir, S. Varošanec, On some inequalities for $h$-concave functions, Mathematical and Computer Modelling, 55(2012) 746-753.

  37. B. Ivanković, J. Pečarić, S. Varošanec, New results on the AM-GM inequality, Miskolc Mathematical Notes 12 (2011) No 1, 61-73.

  38. B. Ivanković, J. Pečarić, S. Varošanec, Properties of the Minkowski type functionals, Mediterranean Journal of Mathematics,8 No. 4 (2011), 543-551.

  39. Ludmila Nikolova, S. Varošanec, Refinements of Holder\'s inequality derived from functions $\psi_{p,q,\lambda}$ and $\phi_{p,q,\lambda}$, Annals of Functional Analysis (AFA), 2(2011), 72-83.

  40. S. Varošanec, The generalized Beckenbach inequality and related results, Banach Journal of Mathematics, Vol 4(2010), No 1, 13-20.

  41. Mea Bombardelli, S. Varošanec, Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities, Computers and Mathematics with Applications 58 (2009), 1869-1877.

  42. Banić, Senka, S. Varošanec, Functional inequalities for superquadratic functions, International journal of pure and applied mathematics. 43 (2008), 4; 537-549.

  43. S. Banić, J. Pečarić, S. Varošanec, Superquadratic functions and refinements of some classical inequalities, Journal of the Korean Mathematical Society. 45 (2008), 2, 513-525.

  44. Dijana Ilišević, S. Varošanec, On the Cauchy--Schwarz inequality and its reverse in semi-inner product $C^*$-modules, Banach Journal of Mathematics, {\bf 1}(2007), No 1, 78-84

  45. S. Abramovich, L.-E. Persson, J. Pečarić, S. Varošanec, General inequalities via subadditive functionals, Mathematical Inequalities and Applications, 10(2007), 15-28.

  46. S. Varošanec, On h-convexity Journal of Mathematical Analysis and Applications, 326(2007), 303-311.

  47. S. Banić, D. Ilišević, S. Varošanec, Bessel and Gruess type inequalities in inner product modules, Proceedings of the Edinburgh Mathematical Society, (2)50(2007), 23-36.

  48. S. Abramovich, J. Pečarić, S. Varošanec, Continuous sharpening of Holder's and Minkowski's inequalities, Mathematical Inequalities and Applications, Vol 8, No 2, (2005), 179-190.

  49. D. Ilišević, S. Varošanec, Gruess type inequalities in inner product modules, Proc. of AMS, 133, No 11,(2005) 3271-3280.

  50. J. Pečarić, S. Varošanec, Some properties of n-norms generated by inner products, Southeast Asian Bulletin of Mathematics, (2004) 28, 1083-1088.

  51. S. Varošanec, History, generalizations and unified treatment of two Ostrowski's inequalities, Journal of Inequalities in Pure and Applied Mathematics, Vol 5, Issue 2, 2004. Article 23

  52. S. Abramovich, J. Pečarić, S. Varošanec, Sharpening Holder's and Popoviciu's inequalities via functionals, The Rocky Journal of Mathematics, 34(2004) 793-810.

  53. S. Abramovich, J. Pečarić, S. Varošanec, Comparison theorems between several quasi-arithmetic means, Mathematical Inequalities and Applications, Vol 7, No 1, (2004), 1-6.

  54. J. Pečarić, S. Varošanec, On convexity-like inequalities II, Rev. Anal. Numer. Theor. Approx. 32(2003), 79-84.

  55. J. Pečarić, S. Varošanec, Harmonic polynomials and generalization of Ostrowski inequality with applications in numerical integration, Nonlinear Analysis, Theory, methods and applications, Vol 47, No 4(2001), 2365-2374.

  56. C.E.M. Pearce, J. Pečarić, S. Varošanec, P\'olya-type Inequalities for Arbitrary Functions, Houston J. Math, Vol 27, No 3(2001), 601-612.

  57. J. Pečarić, S. Varošanec, Simpson's Formula for Functions Whose Derivatives Belong to $L_p$ Spaces, Applied Mathematical Letters, 14(2001) 131-135.

  58. J. Pečarić, S. Varošanec, A Note on Simpson's Inequality for Lipschitzian Functions, Soochow J. Math. 27, No 1 (2001) 53-57.

  59. J. Pečarić, S. Varošanec, A Note on Simpson's Inequality for Functions of Bounded Variation, Tamkang J. Math. Vol 31, No 3, (2000) 239-242.

  60. S. Varošanec, J. Pečarić, Some Integral Inequalities with Applications to Bounds for Moments of a Distribution II, Journal of the Australian Mathematical Society, Series B-- Applied mathematics, new name ANZIAMJ 42(2000), 267-276.

  61. C.E.M. Pearce, J. Pečarić, N. Ujević, S. Varošanec, Generalizations of some Inequalities of Ostrowski-Gruess Type, Mathematical Inequalities and Applications, Vol 3, No 1 (2000), 25-34.

  62. J. Pečarić, S. Varošanec, Multidimensional and Discrete Steffensen's Inequality, Southeast Asian Bulletin of Mathematics, 23(1999), 277-284.

  63. S. Abramovich, J. Pečarić, S. Varošanec, Further extension of Stolarsky's Inequality with General Weights, Mathematica Pannonica, 10/2 (1999), 249--256.

  64. C.E.M. Pearce, J. Pečarić, S. Varošanec, An Integral Analogue of the Ostrowski inequality, Journal of Inequalities and Applications, Vol 2 (1998), 275-283.

  65. J. Pečarić, J. Šunde, S. Varošanec, On Gauss-Polya's Inequality Osterreichische Akademie der Wissenchaften, Abt. 207 (1998), 1-12.

  66. S. Abramovich, J. Pečarić, S. Varošanec, New generalization of Gauss-Polya's inequality, Mathematical inequalities and applications, Vol 1, No 3, (1998), 331-342.

  67. J. Pečarić, S. Varošanec, A new proof of the arithmetic mean--geometric mean inequality, J.Math.Anal.Appl., 215(1997), 577-578

  68. B.Mond, J. Pečarić, J. Šunde and S. Varošanec, Polya's inequality for positive linear operators, Rad HAZU, 472, Sv 13. (1997), 101-105

  69. B. Mond, J. Pečarić, J. Šunde and S. Varošanec, Operator Versions of some classical inequalities, Linear Algebra and its Applications, 264 (1997) 117-126.

  70. S. Varošanec, J. Pečarić, Some Integral Inequalities with Application for Bounds for Moments of a Distribution, Journal of the Australian Mathematical Society, Series B- Applied Mathematics, 38(1997), 325-335.

  71. B. Mond, J. Pečarić, Jadranka Šunde, S. Varošanec, Inequalities of P\' olya Type for Positive Linear Operators, Houston J. Math., Vol 22, No. 4, (1996), 851-858.

  72. S. Varošanec, J. Pečarić, and J. Šunde, Some discrete inequalities, Zeitschrift fur Analysis und Ihre Anwendungen, 15(1996)4, 1025-1032.

  73. S. Varošanec, and J. Pečarić, On Gauss' type inequalities, Grazer Math. Berichte, Nr. 328(1996), 113-118.

  74. S. Varošanec, A Remark on Volkov's Result, Rad HAZU Vol. 470, No. 12, (1995), 199-203.

  75. J. Pečarić, S. Varošanec, Remarks on Gauss-Winckler's and Stolarsky's Inequalities, Utilitas Mathematica, 48,(1995), 233-241.

  76. S. Varošanec, J. Pečarić, Gauss' and Related Inequalities, Zeitschrift fur Analysis und Ihre Anwendungen, Vol. 14 (1995) 1, 175-183.

  77. S. Varošanec, J. Pečarić, On Polya's Inequality, Functional Analysis IV, Proc. of the Postgraduate School and Conference in Dubrovnik, November 10-17, 1993; Aarhus Univ. November, (1994), 275-278.

  78. S. Varošanec, Inequalities of Minkowski's Type, Real Analysis Exchange, Vol 20, No 1, (1994-95), 250-255.

  79. J. Pečarić, S. Varošanec, Some Remarks on Inequalities of L. Iliev II, Math. Balkanica, New Series Vol. 7, (1993), Fasc. 3-4., 333-338.

  80. J. Pečarić, S. Varošanec, Some Remarks on Inequalities of L. Iliev I, Mathematica Balkanica, New Series Vol. 6, (1992), 183-186.