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 modi fi ed functions. The results are obtained on the basis of the introduced de fi nition of a generalized weighted integral operator by using the convexity property, the well-known H¨older’s inequality and its modi fi cation. Some results existing in the literature are some special cases of our results.