Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

摘要

This paper deals with Hermite-Hadamard-Fejér inequality for -convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is -convex functions are obtained. Furthermore, a refinement for classic Hermite-Hadamard inequality via fractional integrals is given when a positive -convex function is increasing.