ON SOME INEQUALITIES OF SIMPSON’S TYPE VIA h−CONVEX FUNCTIONS

Authors : Mevlüt TUNÇ, Çetin YILDIZ, Alper EKİNCİ

Pages : 309-317

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Publication Date : 2013-04-01

Article Type : Research Paper

Abstract :In this paper, we prove some new inequalities of Simpson’s type for functions whose derivatives of absolute values are h−convex and h−concavefunctions. Some new estimations are obtained. Also we give some sophisticated results for some different kinds of convex functions.
Keywords : h convex and h concave functions, Simpsons Inequality, H¨older Inequality