Further on Inequalities for α , h − m -Convex Functions via k -Fractional Integral Operators

Abstract

The purpose of this article is to demonstrate new generalized $k$ -fractional Hadamard and Fejér–Hadamard integral inequalities for $\left(\alpha ,h-m\right)$ -convex functions. To prove these inequalities, $k$ -fractional integral operators including the generalization of the Mittag–Leffler function are used. The results presented in this article can be considered an important advancement of previously published inequalities.