A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function

This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements many inequalities. By setting values monotone functions, it is possible reproduce results classical convexities. The Hadamard-type several classes related convex functions are identified in remarks, some them also presented last section.