Refinements of Various Types of Fractional Inequalities via Generalized Convexity
This paper aims to find generalizations of inequalities that hold for unified integral operators by applying strongly exponentially α,ℏ−m−p-convex functions. These inequalities generate results for several fractional integral operators and simultaneously hold for convex, strongly convex, and exponen...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/4082683 |
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| author | Yong Tang Ghulam Farid M. Y. Youssif Zakieldeen Aboabuda Amna E. Elhag Kahkashan Mahreen |
| author_facet | Yong Tang Ghulam Farid M. Y. Youssif Zakieldeen Aboabuda Amna E. Elhag Kahkashan Mahreen |
| author_sort | Yong Tang |
| collection | DOAJ |
| description | This paper aims to find generalizations of inequalities that hold for unified integral operators by applying strongly exponentially α,ℏ−m−p-convex functions. These inequalities generate results for several fractional integral operators and simultaneously hold for convex, strongly convex, and exponentially convex functions. The particular cases of presented inequalities are directly connected with many recently published results. |
| format | Article |
| id | doaj-art-0af3f71d03ca400a950f050e76b56f28 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0af3f71d03ca400a950f050e76b56f282025-02-03T01:06:29ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4082683Refinements of Various Types of Fractional Inequalities via Generalized ConvexityYong Tang0Ghulam Farid1M. Y. Youssif2Zakieldeen Aboabuda3Amna E. Elhag4Kahkashan Mahreen5School of Computer ScienceDepartment of MathematicsDepartment of MathematicsPrince Sattam bin Abdulaziz UniversityDepartment of MathematicsGovt Boys Degree College JandThis paper aims to find generalizations of inequalities that hold for unified integral operators by applying strongly exponentially α,ℏ−m−p-convex functions. These inequalities generate results for several fractional integral operators and simultaneously hold for convex, strongly convex, and exponentially convex functions. The particular cases of presented inequalities are directly connected with many recently published results.http://dx.doi.org/10.1155/2024/4082683 |
| spellingShingle | Yong Tang Ghulam Farid M. Y. Youssif Zakieldeen Aboabuda Amna E. Elhag Kahkashan Mahreen Refinements of Various Types of Fractional Inequalities via Generalized Convexity Journal of Mathematics |
| title | Refinements of Various Types of Fractional Inequalities via Generalized Convexity |
| title_full | Refinements of Various Types of Fractional Inequalities via Generalized Convexity |
| title_fullStr | Refinements of Various Types of Fractional Inequalities via Generalized Convexity |
| title_full_unstemmed | Refinements of Various Types of Fractional Inequalities via Generalized Convexity |
| title_short | Refinements of Various Types of Fractional Inequalities via Generalized Convexity |
| title_sort | refinements of various types of fractional inequalities via generalized convexity |
| url | http://dx.doi.org/10.1155/2024/4082683 |
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