Some Integral Inequalities for s-convex Functions in the Second Sense with Applications

Year 2013, Volume: 2 Issue: 3, 49 - 59, 01.03.2013

Mevlut Tunc

Abstract

–In this paper, author establish some new interesting inequalities for product of convex and s-convex functions inthe second sense. Also several applications to special means forpositive number are given

Keywords

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References

• S.S. Dragomir, C. E. M. Pearce, Selected Topic on Hermite-Hadamard Inequalities and Applications, Melbourne and Adelaide, December, 2000.
• J. Hadamard, ´Etude sur les propri´et´es des fonctions enti`eres et en particulier d’une fonction consider´ee par Riemann, J. Math Pures Appl., 58, 171-215, 1893.
• H. Hudzik, L. Maligranda, Some remarks on s-convex functions, Aequationes Math. 48, 100-111, 1994.
• J.E. Peˇcari´c, F. Proschan, Y.L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press Inc., 1992
• D.S. Mitrinovi´c, Analytic Inequalities, Springer Verlag, Berlin/New York, 1970.
• R.B. Manfrino, R.V. Delgado and J.A.G. Ortega, Inequalities a Mathematical Olympiad Approach, Birkh¨auser, 2009.
• M.E. ¨Ozdemir, M. Tun¸c, A.O. Akdemir, On (h-s) {1,2}-convex Functions and Hadamard-type Inequalities, Int. J. Open Problems Comput. Math., 6(2), 51-61, 2013.
• M. Tun¸c, Ostrowski-type inequalities via h-convex functions with applications to special means, J. of Ineq.Appl., 2013, 2013:326 10.1186/1029-242X-2013-326
• M. Tun¸c, Y. S¸uba¸s, ˙I. Karabayır, On some Hadamard type inequalities for MT - convex functions, Int. J. Open Problems Comput. Math. , 6(2), 102-113, 2013.
• M. Tun¸c, U.S. Kırmacı, New integral inequalities for s-convex functions with appli- cations, International Electronic Journal of Pure and Applied Mathematics, 1(2), 131-141, 2010.
• M. Tun¸c, Ostrowski type inequalities for functions whose derivatives are MT - convex, J. of Comp.Analy. and Appl., In Press, 2014.