Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity
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,...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Multidisciplinary Digital Publishing Institute
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/109222/ |
| _version_ | 1848865314393030656 |
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| author | Saleh, Wedad Lakhdari, Abdelghani Almutairi, Ohud Kilicman, Adem |
| author_facet | Saleh, Wedad Lakhdari, Abdelghani Almutairi, Ohud Kilicman, Adem |
| author_sort | Saleh, Wedad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T14:02:44Z |
| format | Article |
| id | upm-109222 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:02:44Z |
| publishDate | 2023 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1092222024-08-27T04:17:28Z http://psasir.upm.edu.my/id/eprint/109222/ Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity Saleh, Wedad Lakhdari, Abdelghani Almutairi, Ohud Kilicman, Adem 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. Multidisciplinary Digital Publishing Institute 2023 Article PeerReviewed 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 https://www.mdpi.com/2227-7390/11/6/1373 10.3390/math11061373 |
| spellingShingle | Saleh, Wedad Lakhdari, Abdelghani Almutairi, Ohud Kilicman, Adem Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity |
| title | Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity |
| title_full | Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity |
| title_fullStr | Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity |
| title_full_unstemmed | Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity |
| title_short | Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity |
| title_sort | some remarks on local fractional integral inequalities involving mittag–leffler kernel using generalized (e, h)-convexity |
| url | http://psasir.upm.edu.my/id/eprint/109222/ http://psasir.upm.edu.my/id/eprint/109222/ http://psasir.upm.edu.my/id/eprint/109222/ |