DOI: 10.3390/axioms12080795 ISSN:
A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
Ghulam Farid, Hafsa Tariq, Ferdous M. O. Tawfiq, Jong-Suk Ro, Saira Zainab- Geometry and Topology
- Logic
- Mathematical Physics
- Algebra and Number Theory
- Analysis
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 of many inequalities. By setting values of monotone functions, it is possible to reproduce results for classical convexities. The Hadamard-type inequalities for several classes related to convex functions are identified in remarks, and some of them are also presented in last section.