Hermite-Hadamard type inequalities for new class h-convex mappings utilizing weighted generalized fractional integrals

Abstract

In this paper, we first introduce the fractional integral operators of a function with respect to another function. Then, we prove a new version of Hermite-Hadamard for newly introduced fractional integral operators. For this aim, we use the h-convex function in the case the function h is a B-function. Moreover, we also establish several corresponding trapezoid and midpoint type inequalities by using h-convex function and H & ouml;lder inequality.