Some Hermite–Hadamard inequalities involving weighted integral operators via (h, s, m)-convex functions

Abstract

In this work, we establish new integral inequalities of Hermite–Hadamard type, within the framework of generalized integrals, which contain the Riemann–Liouville fractional integrals as particular case. We use a definition of convexity that includes the classical convex, m-convex, s-convex functions, among others. We show that several known results from the literature are closely related to ours.