Hermite--Hadamard type inequalities via differentiable $h_{\phi }$-preinvex functions for Fractional Integrals

Abstract

In this paper, we consider a new class of convex functions which is called $h_{\phi }-$preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable $h_{\phi }$-preinvex functions via Fractional Integrals. Some special cases are also discussed. Our results extend and improve the corresponding ones in the literature.