, 2013:332,
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Date: 22 Jul 2013

On some inequalities for relative semi-convex functions

Abstract

We consider and study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived. Several special cases are also discussed. Results proved in this paper may stimulate further research in this area.

MSC: 26D15, 26A51, 49J40.