On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense
By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023106?viewType=HTML |
| _version_ | 1798023099758673920 |
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| author | Mohammed S. El-Khatib Atta A. K. Abu Hany Mohammed M. Matar Manar A. Alqudah Thabet Abdeljawad |
| author_facet | Mohammed S. El-Khatib Atta A. K. Abu Hany Mohammed M. Matar Manar A. Alqudah Thabet Abdeljawad |
| author_sort | Mohammed S. El-Khatib |
| collection | DOAJ |
| description | By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus. |
| first_indexed | 2024-04-11T17:40:49Z |
| format | Article |
| id | doaj.art-1e68ecb89c9e4d4d89fc88c060baf704 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:40:49Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1e68ecb89c9e4d4d89fc88c060baf7042022-12-22T04:11:29ZengAIMS PressAIMS Mathematics2473-69882023-01-01812062208210.3934/math.2023106On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable senseMohammed S. El-Khatib0Atta A. K. Abu Hany 1Mohammed M. Matar2Manar A. Alqudah3Thabet Abdeljawad 41. Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, State of Palestine1. Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, State of Palestine1. Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, State of Palestine2. Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia3. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia 4. Department of Medical Research, China Medical University, Taichung 40402, TaiwanBy making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.https://www.aimspress.com/article/doi/10.3934/math.2023106?viewType=HTMLconformable derivative and integralconvex functionssteffensen'scerone'sbelman'shayashi's and jensen's inequalities |
| spellingShingle | Mohammed S. El-Khatib Atta A. K. Abu Hany Mohammed M. Matar Manar A. Alqudah Thabet Abdeljawad On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense AIMS Mathematics conformable derivative and integral convex functions steffensen's cerone's belman's hayashi's and jensen's inequalities |
| title | On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense |
| title_full | On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense |
| title_fullStr | On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense |
| title_full_unstemmed | On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense |
| title_short | On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense |
| title_sort | on cerone s and bellman s generalization of steffensen s integral inequality via conformable sense |
| topic | conformable derivative and integral convex functions steffensen's cerone's belman's hayashi's and jensen's inequalities |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023106?viewType=HTML |
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