On Hermite-Hadamard type Inequalities for h-preinvex functions

Abstract

The objectives of this paper is to obtain some Hermite-Hadamard type inequalities
for h-preinvex functions. Firstly, a new kind of generalized h-convex functions, termed h-preinvex
functions, is introduced through relaxing the concept of h-convexity introduced by Varosanec. And
the Hermite-Hadamard type inequalities for h-preinvex functions are established under certain
conditions. Our results can be viewed as generalization of several previously known results.