Some Remarks on Local Fractional Integral Inequalities Involving Mittag–Leffler Kernel Using Generalized (E, h)-Convexity-Reference-Cited by-同舟云学术

Some Remarks on Local Fractional Integral Inequalities Involving Mittag–Leffler Kernel Using Generalized (E, h)-Convexity

Published:2023-03-12 Issue:6 Volume:11 Page:1373
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Saleh Wedad¹,Lakhdari Abdelghani²^ORCID,Almutairi Ohud³,Kiliçman Adem⁴^ORCID

Affiliation:

1. Department of Mathematics, Taibah University, Al-Medina 42353, Saudi Arabia

2. Department CPST, Ecole Nationale Supérieure de Technologie et d’Ingénierie, Annaba 23005, Algeria

3. Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia

4. Department of Mathematics and Statistics, Universiti Putra Malaysia (UPM), Serdang 43400, Malaysia

Abstract

In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, we study the related generalized Hermite–Hadamard-type inequality using generalized (E,h)-convexity and obtain two identities pertaining to these operators, and the respective first- and second-order derivatives are given. In terms of applications, we provide some new generalized trapezoid-type inequalities for generalized (E,h)-convex functions. Finally, some special cases are deduced for different values of δ, E, and h.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1373/pdf

Reference24 articles.

1. Etude sur les propriétés des fonctions entières et en particulier d’une fonction considérée par Riemann;Hadamard;J. Math Pures Appl.,1893

2. On h-convexity;J. Math. Anal. Appl.,2007

3. On strongly h-convex functions;Angulo;Ann. Funct. Anal.,2011

4. On generalized strongly modified h-convex functions;Zhao;J. Inequalities Appl.,2020

5. On Some Hadamard-Type Inequalities for h-Convex Functions;Sarikaya;J. Math. Inequalities,2008

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On multiparametrized integral inequalities via generalized α‐convexity on fractal set;Mathematical Methods in the Applied Sciences;2024-07-30

2. On corrected Simpson-type inequalities via local fractional integrals;Georgian Mathematical Journal;2024-06-26

3. An expanded analysis of local fractional integral inequalities via generalized $(s,P)$-convexity;Journal of Inequalities and Applications;2024-06-07

4. Hermite-Hadamard type inequalities for new conditions on h-convex functions via $$\psi $$-Hilfer integral operators;Analysis and Mathematical Physics;2024-03-26

5. SOME NEW PARAMETRIZED INEQUALITIES ON FRACTAL SET;Fractals;2024-01