A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
Ghulam Farid,
Hafsa Tariq,
Ferdous M. O. Tawfiq,
Jong-Suk Ro,
Saira Zainab
Affiliations
Ghulam Farid
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan
Hafsa Tariq
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan
Ferdous M. O. Tawfiq
Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
Jong-Suk Ro
School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea
Saira Zainab
School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
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.
