Generalized Hermite-Hadamard Inequalities for Subadditive Functions via Katugampola Fractional Integrals

Abstract

This investigation provides a comprehensive derivation of integral inequalities for subadditive functions within the framework of Katugampola fractional integrals. Using Katugampola fractional integrals, this study extends Hermite-Hadamard inequalities to subadditive functions. It establishes and investigates several variations of these inequalities and fractional integral inequalities for the product of two subadditive functions using Katugampola fractional integrals. Furthermore, we demonstrate that the inequalities presented in this research generalize the previously established inequalities for convex functions.