Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators
The purpose of this article is to demonstrate new generalized k-fractional Hadamard and Fejér–Hadamard integral inequalities for α,h−m-convex functions. To prove these inequalities, k-fractional integral operators including the generalization of the Mittag–Leffler function are used. The results pres...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9135608 |
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| _version_ | 1850175734225567744 |
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| author | Tao Yan Ghulam Farid Ayşe Kübra Demirel Kamsing Nonlaopon |
| author_facet | Tao Yan Ghulam Farid Ayşe Kübra Demirel Kamsing Nonlaopon |
| author_sort | Tao Yan |
| collection | DOAJ |
| description | The purpose of this article is to demonstrate new generalized k-fractional Hadamard and Fejér–Hadamard integral inequalities for α,h−m-convex functions. To prove these inequalities, k-fractional integral operators including the generalization of the Mittag–Leffler function are used. The results presented in this article can be considered an important advancement of previously published inequalities. |
| format | Article |
| id | doaj-art-c0dfa590bce54dcfa7c864949c376aec |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c0dfa590bce54dcfa7c864949c376aec2025-08-20T02:19:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9135608Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral OperatorsTao Yan0Ghulam Farid1Ayşe Kübra Demirel2Kamsing Nonlaopon3School of Computer ScienceCOMSATS University IslamabadOrdu UniversityDepartment of MathematicsThe purpose of this article is to demonstrate new generalized k-fractional Hadamard and Fejér–Hadamard integral inequalities for α,h−m-convex functions. To prove these inequalities, k-fractional integral operators including the generalization of the Mittag–Leffler function are used. The results presented in this article can be considered an important advancement of previously published inequalities.http://dx.doi.org/10.1155/2022/9135608 |
| spellingShingle | Tao Yan Ghulam Farid Ayşe Kübra Demirel Kamsing Nonlaopon Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators Journal of Mathematics |
| title | Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators |
| title_full | Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators |
| title_fullStr | Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators |
| title_full_unstemmed | Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators |
| title_short | Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators |
| title_sort | further on inequalities for α h m convex functions via k fractional integral operators |
| url | http://dx.doi.org/10.1155/2022/9135608 |
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