Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities

Abstract

This paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially $\left(\alpha ,h-m\right)$ - $p$ -convex functions. These inequalities provide some general formulas from which one can get associated inequalities for various types of exponentially convex and strongly convex functions. Refinements of well-known inequalities are also deducible from the established theorems.