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SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE HIGHER ORDER PARTIAL DERIVATIVES ARE CO-ORDINATED s-CONVEX
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SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE HIGHER ORDER PARTIAL DERIVATIVES ARE CO-ORDINATED s-CONVEX

Muhammad Amer Latif
KRAGUJEVAC JOURNAL OF MATHEMATICS, Vol.38(1), pp.125-146
01/01/2014

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we point out some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives of higher order are co-ordinated s-convex in the second sense. Our established results generalize the Hermite-Hadamard type inequalities established for co-ordinated s-convex functions and refine those results established for differentiable functions whose partial derivatives of higher order are co-ordinated convex proved in recent literature.
url
https://doi.org/10.5937/KgJMath1401125LView
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