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

Authors : M. SHAFIEI, A. G. GHAZANFARI

Pages : 123-131

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Publication Date : 2017-04-01

Article Type : Research Paper

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