SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Özet

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 H¨older 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.