Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions

Abstract

In this paper, some new integral inequalities of the Hermite–Hadamard type are were obtained for (h,m)-convex modified functions. The results are obtained on the basis of the introduced definition of a generalized weighted integral operator by using the convexity property, the well-known H ̈older’s inequality and its modification. Some results existing in the literature are some special cases of our results.