Citation
Saleh, Wedad and Lakhdari, Abdelghani and Almutairi, Ohud and Kilicman, Adem
(2023)
Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity.
Mathematics, 11 (6).
art. no. 1373.
pp. 1-13.
ISSN 2227-7390
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.
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Official URL or Download Paper: https://www.mdpi.com/2227-7390/11/6/1373
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.3390/math11061373 |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Fractal sets; Generalized (E, h)-convexity; Local fractional integral and derivative; Generalized Mittag–Leffler function |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 27 Aug 2024 04:17 |
| Last Modified: | 27 Aug 2024 04:17 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math11061373 |
| URI: | http://psasir.upm.edu.my/id/eprint/109222 |
| Statistic Details: | View Download Statistic |
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