Some new fractional integral inequalities for $ (h_ {1}, h_ {2})- $convex functions

Abstract

In this paper, some Hermite-Hadamard integral inequalities and Hermite-Hadamard-Fejér integral inequalities involving Atangana-Baleanu fractional integral operators via $ (h_ {1}, h_ {2})- $convex functions and $ (h_ {1}, h_ {2})- $concave functions are established. Then, according to an integral equation with Atangana-Baleanu fractional integral operators, some Hermite-Hadamard integral inequalities for second order differentiable convex maps are given.