Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions-Reference-Cited by-同舟云学术

Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

Published:2021-03-15 Issue: Volume:2021 Page:1-13
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Yussouf M.¹,Farid G.²^ORCID,Khan K. A.¹,Jung Chahn Yong³^ORCID

Affiliation:

1. Department of Mathematics, University of Sargodha, Sargodha, Pakistan

2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

3. Departmentof Business Administration, Gyeongsang National University, Jinju 52828, Republic of Korea

Abstract

In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/5589405.pdf

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4. A Generalization of Mittag-Leffler function and integral operator associated with integral calculus;T. O. Salim;J. Frac. Calc. Appl,2012

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