On Some Generalized Fractional Integral Inequalities for <i>p</i>-Convex Functions

Abstract

In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina, Lun and Agarwal. Secondly, we proved a new identity involving this generalized fractional integral operators. Then, by using this identity, a new generalization of Hermite−Hadamard type inequalities for fractional integral are obtained.

Keywords

• <i>p</i>-convex function
• Hermite–Hadamard inequality
• fractional integral operator