Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions

Abstract

Fractional integral operators are useful tools for generalizing classical integral inequalities. Convex functions play very important role in the theory of mathematical inequalities. This paper aims to investigate the Hadamard type inequalities for a generalized class of functions namely strongly (α,h−m)-p-convex functions by using Riemann–Liouville fractional integrals. The results established in this paper give refinements of various well-known inequalities which have been published in the recent past.

Keywords

• Riemann–Liouville integrals
• Hadamard inequality
• strongly convex function
• convex function