Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals
In this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated. Inequalities, containing Caputo–Fabrizio integral operators for functions, whose derivative...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Applied Mathematics in Science and Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2401854 |
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| author | Khuram Ali Khan Iqra Ikram Ammara Nosheen Ndolane Sene Y. S. Hamed |
| author_facet | Khuram Ali Khan Iqra Ikram Ammara Nosheen Ndolane Sene Y. S. Hamed |
| author_sort | Khuram Ali Khan |
| collection | DOAJ |
| description | In this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated. Inequalities, containing Caputo–Fabrizio integral operators for functions, whose derivatives are [Formula: see text]-convex function in the third sense, are also established. This article utilized [Formula: see text]-convex function in the third sense to generalized midpoint-type integral inequalities which give more sharp inequalities. |
| format | Article |
| id | doaj-art-0ff12b366b534508b84f815c4991d15f |
| institution | OA Journals |
| issn | 2769-0911 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj-art-0ff12b366b534508b84f815c4991d15f2025-08-20T02:31:07ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2401854Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integralsKhuram Ali Khan0Iqra Ikram1Ammara Nosheen2Ndolane Sene3Y. S. Hamed4Department of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, Cheikh Anta Diop University, Dakar Fann, SenegalDepartment of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi ArabiaIn this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated. Inequalities, containing Caputo–Fabrizio integral operators for functions, whose derivatives are [Formula: see text]-convex function in the third sense, are also established. This article utilized [Formula: see text]-convex function in the third sense to generalized midpoint-type integral inequalities which give more sharp inequalities.https://www.tandfonline.com/doi/10.1080/27690911.2024.2401854Convex functionintegral inequalitiesCaputo fractional derivativesCaputo–Fabrizio integral operators39B6239B05 |
| spellingShingle | Khuram Ali Khan Iqra Ikram Ammara Nosheen Ndolane Sene Y. S. Hamed Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals Applied Mathematics in Science and Engineering Convex function integral inequalities Caputo fractional derivatives Caputo–Fabrizio integral operators 39B62 39B05 |
| title | Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals |
| title_full | Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals |
| title_fullStr | Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals |
| title_full_unstemmed | Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals |
| title_short | Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals |
| title_sort | midpoint type integral inequalities for s m convex functions in the third sense involving caputo fractional derivatives and caputo fabrizio integrals |
| topic | Convex function integral inequalities Caputo fractional derivatives Caputo–Fabrizio integral operators 39B62 39B05 |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2024.2401854 |
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