Novel inequalities involving exponentially (α, m)-convex function and fractional integrals
In this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity. Whereas, the absolute values of first derivatives of real v...
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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/10.1080/27690911.2024.2422993 |
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| author | Muhammad Latif Ammara Nosheen Khuram Ali Khan Hafiza Bisma Ammara Ndolane Sene Y. S. Hamed |
| author_facet | Muhammad Latif Ammara Nosheen Khuram Ali Khan Hafiza Bisma Ammara Ndolane Sene Y. S. Hamed |
| author_sort | Muhammad Latif |
| collection | DOAJ |
| description | In this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity. Whereas, the absolute values of first derivatives of real valued functions, which are appeared in these inequalities, are exponentially ([Formula: see text]-convex. Some special cases are discussed and graphical evidences are presented for validity of proved results. |
| format | Article |
| id | doaj-art-b17a6fd66aa24452b265e374c450a9e6 |
| institution | Kabale University |
| 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-b17a6fd66aa24452b265e374c450a9e62024-12-06T04:24:25ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2422993Novel inequalities involving exponentially (α, m)-convex function and fractional integralsMuhammad Latif0Ammara Nosheen1Khuram Ali Khan2Hafiza Bisma Ammara3Ndolane Sene4Y. S. Hamed5Government Post Graduate College Mandi Bahauddin, Punjab, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanSection mathematics and statistics, Institut des Politiques Publiques, Cheikh Anta Diop University, Dakar Fann, SenegalDepartment of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi ArabiaIn this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity. Whereas, the absolute values of first derivatives of real valued functions, which are appeared in these inequalities, are exponentially ([Formula: see text]-convex. Some special cases are discussed and graphical evidences are presented for validity of proved results.https://www.tandfonline.com/doi/10.1080/27690911.2024.2422993Integral inequalitiesconvex functionsRiemann–Liouville fractional integralHölder inequalitypower-mean inequality26A33 |
| spellingShingle | Muhammad Latif Ammara Nosheen Khuram Ali Khan Hafiza Bisma Ammara Ndolane Sene Y. S. Hamed Novel inequalities involving exponentially (α, m)-convex function and fractional integrals Applied Mathematics in Science and Engineering Integral inequalities convex functions Riemann–Liouville fractional integral Hölder inequality power-mean inequality 26A33 |
| title | Novel inequalities involving exponentially (α, m)-convex function and fractional integrals |
| title_full | Novel inequalities involving exponentially (α, m)-convex function and fractional integrals |
| title_fullStr | Novel inequalities involving exponentially (α, m)-convex function and fractional integrals |
| title_full_unstemmed | Novel inequalities involving exponentially (α, m)-convex function and fractional integrals |
| title_short | Novel inequalities involving exponentially (α, m)-convex function and fractional integrals |
| title_sort | novel inequalities involving exponentially α m convex function and fractional integrals |
| topic | Integral inequalities convex functions Riemann–Liouville fractional integral Hölder inequality power-mean inequality 26A33 |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2024.2422993 |
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