Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Abstract

In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates of the left and right hand side of the Hermite−Hadamard inequalities for fractional integrals involving preinvex functions doesn’t exist previously.

Keywords

• Hermite–Hadamard inequality
• Hermite–Hadamard–Fejér inequality
• Riemann–Liouville fractional integral
• preinvex function