Generalized Hermite-Hadamard type inequalities involving fractional integral operators

Abstract

Abstract In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral.

Keywords

• Hermite-Hadamard inequality
• convex function
• Hölder inequality
• fractional integral operator