Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications
The main objective of this paper is to derive some new k-fractional refinements of HermiteHadamard like inequalities. We also discuss some new special cases of the main results. In the last section, we discuss applications, which shows the significance of the obtained results.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020042/fulltext.html |
| _version_ | 1818295946896736256 |
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| author | Bandar Bin-Mohsin Muhammad Uzair Awan Muhammad Aslam Noor Khalida Inayat Noor |
| author_facet | Bandar Bin-Mohsin Muhammad Uzair Awan Muhammad Aslam Noor Khalida Inayat Noor |
| author_sort | Bandar Bin-Mohsin |
| collection | DOAJ |
| description | The main objective of this paper is to derive some new k-fractional refinements of HermiteHadamard like inequalities. We also discuss some new special cases of the main results. In the last section, we discuss applications, which shows the significance of the obtained results. |
| first_indexed | 2024-12-13T03:55:44Z |
| format | Article |
| id | doaj.art-49a22acdca174389b268f31822f93241 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T03:55:44Z |
| publishDate | 2020-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-49a22acdca174389b268f31822f932412022-12-22T00:00:36ZengAIMS PressAIMS Mathematics2473-69882020-01-015162963910.3934/math.2020042Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applicationsBandar Bin-Mohsin0Muhammad Uzair Awan1Muhammad Aslam Noor2Khalida Inayat Noor31 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia2 Department of Mathematics, GC University, Faisalabad, Pakistan3 Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan3 Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanThe main objective of this paper is to derive some new k-fractional refinements of HermiteHadamard like inequalities. We also discuss some new special cases of the main results. In the last section, we discuss applications, which shows the significance of the obtained results.https://www.aimspress.com/article/10.3934/math.2020042/fulltext.htmlconvexh-convexk-fractionalhermite-hadamardinequalitiesmeans |
| spellingShingle | Bandar Bin-Mohsin Muhammad Uzair Awan Muhammad Aslam Noor Khalida Inayat Noor Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications AIMS Mathematics convex h-convex k-fractional hermite-hadamard inequalities means |
| title | Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications |
| title_full | Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications |
| title_fullStr | Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications |
| title_full_unstemmed | Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications |
| title_short | Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications |
| title_sort | hermite hadamard type inequalities in the setting of k fractional calculus theory with applications |
| topic | convex h-convex k-fractional hermite-hadamard inequalities means |
| url | https://www.aimspress.com/article/10.3934/math.2020042/fulltext.html |
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