HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS

Abstract

In this paper, we consider a new class of convex functions which is called h_varphi-preinvex functions. We prove several Hermite--Hadamard type

inequalities for differentiable h_varphi-preinvex functions via Fractional Integrals. Some special cases are also discussed. Our results

extend and improve the corresponding ones in the literature.

Keywords

• integral inequalities
• fractional integrals
• Hermite-Hadamard Inequality

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