New refinements of the Hadamard's inequality on coordinated convex function
In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some examples of the new refinement inequalities are given to check their validity.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Open
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81473/ http://psasir.upm.edu.my/id/eprint/81473/1/New%20refinements%20of%20the%20Hadamard%27s%20inequality%20on%20coordinated%20convex%20function.pdf |
| _version_ | 1848859112505344000 |
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| author | Almutairi, Ahoud Kilicman, Adem |
| author_facet | Almutairi, Ahoud Kilicman, Adem |
| author_sort | Almutairi, Ahoud |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some examples of the new refinement inequalities are given to check their validity. |
| first_indexed | 2025-11-15T12:24:10Z |
| format | Article |
| id | upm-81473 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:10Z |
| publishDate | 2019 |
| publisher | Springer Open |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-814732021-01-30T19:52:22Z http://psasir.upm.edu.my/id/eprint/81473/ New refinements of the Hadamard's inequality on coordinated convex function Almutairi, Ahoud Kilicman, Adem In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some examples of the new refinement inequalities are given to check their validity. Springer Open 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81473/1/New%20refinements%20of%20the%20Hadamard%27s%20inequality%20on%20coordinated%20convex%20function.pdf Almutairi, Ahoud and Kilicman, Adem (2019) New refinements of the Hadamard's inequality on coordinated convex function. Journal of Inequalities and Applications, 2019. art. no. 192. pp. 1-9. ISSN 1029-242X; ESSN: 1025-5834 https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2143-2 10.1186/s13660-019-2143-2 |
| spellingShingle | Almutairi, Ahoud Kilicman, Adem New refinements of the Hadamard's inequality on coordinated convex function |
| title | New refinements of the Hadamard's inequality on coordinated convex function |
| title_full | New refinements of the Hadamard's inequality on coordinated convex function |
| title_fullStr | New refinements of the Hadamard's inequality on coordinated convex function |
| title_full_unstemmed | New refinements of the Hadamard's inequality on coordinated convex function |
| title_short | New refinements of the Hadamard's inequality on coordinated convex function |
| title_sort | new refinements of the hadamard's inequality on coordinated convex function |
| url | http://psasir.upm.edu.my/id/eprint/81473/ http://psasir.upm.edu.my/id/eprint/81473/ http://psasir.upm.edu.my/id/eprint/81473/ http://psasir.upm.edu.my/id/eprint/81473/1/New%20refinements%20of%20the%20Hadamard%27s%20inequality%20on%20coordinated%20convex%20function.pdf |