HERMITE-HADAMARD TYPE INEQUALITIES FOR THE PRODUCT TWO MAPPINGS WHOSE DERIVATIVES ABSOLUTE VALUES ARE $s$-CONVEX

Year 2017, Volume: 5 Issue: 1, 123 - 131, 01.04.2017

M. Shafıeı A. G. Ghazanfarı

Abstract

In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for the product two differentiable functions whose derivatives absolute values are $s$-convex. Some natural applications to special weighted means of real numbers are given. Finally, an error estimate for the Simpson's formula is also addressed.

Keywords

Hermite-Hadamard inequality, differentiable functions, $s$-convex functions, convex functions

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