Cite

[1] A.O. Akdemir and M.E. Özdemir, Some Hadamard-type inequalities for co-ordinated p-convex functions and Godunova-Levin functions, arXiv:1012.5880v2 [math.CA], (2010)10.1063/1.3525212Search in Google Scholar

[2] M. Alomari and M. Darus, Co-ordinated s-convex functions in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sci., 3, (2008), 1557–1567Search in Google Scholar

[3] M. Alomari and M. Darus, The Hadamard’s inequality for s-convex function of 2-variables on the co-ordinates, Int. J. Math. Anal., 13, (2008), 629–638Search in Google Scholar

[4] S.P. Bai and F. Qi, Some inequalities for (s1, m1) − (s2, m2)-convex functions on the co-ordinates, Global J. Math. Anal., 1, (2013), 22–2810.14419/gjma.v1i1.776Search in Google Scholar

[5] W.W. Breckner, Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer funktionen in topologischen linearen Räumen, Publ. Inst. Math., 23, (1978), 13–20Search in Google Scholar

[6] W.W. Breckner and B. Orbán, Continuity properties of rationally s-convex mappings with values in an ordered topological linear space, Babeş-Bolyai University of Cluj-Napoca Publishing House, Cluj-Napoca, 1978Search in Google Scholar

[7] G. Cristescu, M.A. Noor, and M.U. Awan, Bounds of the second degree cumulative frontier gaps of functions with generalized convexity, Carpathian J. Math., 31, (2015), 173–18010.37193/CJM.2015.02.04Search in Google Scholar

[8] G. Cristescu, M.A. Noor, K.I. Noor, and M.U. Awan, Some Inequalities for functions having Orlicz-convexity, Appl. Math. Comp, 273, (2016), 226-23610.1016/j.amc.2015.09.068Search in Google Scholar

[9] S.S. Dragomir and S. Fitzpatrick, The Hadamard’s inequality for s-convex functions in the second sense, Demonstratio Math., 32, (1999), 687–69610.1515/dema-1999-0403Search in Google Scholar

[10] S.S. Dragomir and C.E.M. Pearce, Selected topics on Hermite-Hadamard inequalities and applications, 2000Search in Google Scholar

[11] S.S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese J. Math., 5, (2001), 775–78810.11650/twjm/1500574995Search in Google Scholar

[12] J. Hadamard, Étude sur les propriétés des fonctions entières et en particulier d’une fonction considerée par Riemann, J. Math Pures Appl., 58, (1893), 171–215Search in Google Scholar

[13] Ch. Hermite, Sur deux limites d’une intégrale définie, Mathesis, 3, (1883)Search in Google Scholar

[14] H. Hudzik and L. Maligranda, Some remarks on s-convex functions, Aequationes Math., 48, (1994), 100–11110.1007/BF01837981Search in Google Scholar

[15] J.L.W.V. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, Acta. Math., 30, (1906), 175–19310.1007/BF02418571Search in Google Scholar

[16] M.A. Latif, Some new Hermite-Hadamard type inequalities for functions whose higher order partial derivatives are co-ordinated s-convex, Kragujevac J. Math., 38, (2014), 125–14610.5937/KgJMath1401125LSearch in Google Scholar

[17] G. Maksa and Z. Páles, The equality case in some recent convexity inequalities, Opuscula Math., 31, (2011), 269–27710.7494/OpMath.2011.31.2.269Search in Google Scholar

[18] M. Matłoka, On some Hadamard-type inequalities for (h1, h2)-preinvex functions on the co-ordinates, J. Inequal. Appl., (2013), 2013:2710.1186/1029-242X-2013-227Search in Google Scholar

[19] M.A. Noor, G. Cristescu, and M.U. Awan, Generalized fractional Hermite-Hadamard inequalities for twice differentiable s-convex functions, Filomat, 29, (2015), 807–81510.2298/FIL1504807NSearch in Google Scholar

[20] W. Orlicz, A note on modular spaces I, Bull. Acad. Polon. Sci. Math. Astronom. Phys., 9, (1961), 157–162Search in Google Scholar

[21] M.E. Özdemir, H. Kavurmaci, A.O. Akdemir, and M. Avci, Inequalities for convex and s-convex functions on ∆ = [a, b] × [c, d], J. Inequal. Appl., (2012), 2012:2010.1186/1029-242X-2012-20Search in Google Scholar

[22] J. Park, On the Hermite-Hadamard-like type inequalities for co-ordinated (s, r)-convex mappings in the first sense, Int. J. Pure Appl. Math., 74, (2012), 251–263Search in Google Scholar

[23] M.Z. Sarikaya, E. Set, M.E. Özdemir, and S.S. Dragomir, New some Hadamard’s type inequalities for co-ordinated convex functions, Tamsui Oxford J. Math. Sci., 28, (2011)Search in Google Scholar

[24] B-Y. Xi, J. Hua, and F. Qi, Hermite-Hadamard type inequalities for extended s-convex functions on the co-ordinates in a rectangle, Journal of Applied Analysis, 20, (2014), 1-1710.1515/jaa-2014-0004Search in Google Scholar

eISSN:
1841-3307
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics