Refinements of some fractional integral inequalities for refined (α, <i>h</i> - <i>m</i>)-convex function

Abstract

This article investigates new inequalities for generalized Riemann-Liouville fractional integrals via the refined (alpha, h - m)-convex function. The established results give refinements of fractional integral inequalities for (h - m)-convex, (alpha, m)-convex, (s, m)-convex, and related functions. Also, the k-fractional versions of given inequalities by using a parameter substitution are provided.