On Hermite-Hadamard Type Inequalities with Respect to the Generalization of Some Types of s-Convexity

Abstract

In this paper, the authors give a new concept which is a generalization of the concepts $s$-convexity,$GA-s$-convexity, harmonically $s$-convexity and $(p,s)$-convexity establish some new Hermite-Hadamard type inequalities for this class of functions. Some natural applications to special means of real numbers are also given.