Hermite-Hadamard inequalities for relative semi-convex functions and applications

Abstract

In this paper, we prove some Hermite-Hadamard inequalities for the class of relative semiconvex functions. Several special cases are also discussed. Thus it is worth mentioning that our results can be viewed as a generalization of previous results. Some applications to special means are also presented. Ideas and techniques of this paper may inspire further research in various branches of pure and applied sciences.