A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function-Reference-Cited by-同舟云学术

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

Published:2023-08-17 Issue:8 Volume:12 Page:795
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Farid Ghulam¹^ORCID,Tariq Hafsa¹,Tawfiq Ferdous M. O.²,Ro Jong-Suk³⁴^ORCID,Zainab Saira⁵^ORCID

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan

2. Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

3. School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea

4. Department of Intelligent Energy and Industry, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea

5. School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/795/pdf

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