Some integral inequalities of hermite-hadamard type for differentiable (s, m)-convex functions via fractional integrals

Abstract

In this paper, we present new inequalities connected with fractional integrals for twice differentiable functions derivatives which are (s, m)? convex functions. To obtain this, integral inequalities were used classical inequalities as Hölder inequalitiy and power mean inequality.This results are related to the well-known integral inequality of the Hermite-Hadamard type. Also some applications to special means are provided.