On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane
We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane. In particular, we obtain a refinement of an inequal...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-09-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2023-0115 |
| _version_ | 1827808077391331328 |
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| author | Jleli Mohamed Samet Bessem |
| author_facet | Jleli Mohamed Samet Bessem |
| author_sort | Jleli Mohamed |
| collection | DOAJ |
| description | We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane. In particular, we obtain a refinement of an inequality due to Dragomir [On the Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwan. J. Math. 5 (2001), no. 4, 775–788] for convex functions on the coordinates. |
| first_indexed | 2024-03-11T22:06:22Z |
| format | Article |
| id | doaj.art-db5d290e52094600bd4b02ee3e8f323e |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-03-11T22:06:22Z |
| publishDate | 2023-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-db5d290e52094600bd4b02ee3e8f323e2023-09-25T06:06:10ZengDe GruyterOpen Mathematics2391-54552023-09-012118221510.1515/math-2023-0115On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the planeJleli Mohamed0Samet Bessem1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi ArabiaWe establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane. In particular, we obtain a refinement of an inequality due to Dragomir [On the Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwan. J. Math. 5 (2001), no. 4, 775–788] for convex functions on the coordinates.https://doi.org/10.1515/math-2023-0115systems of partial differential inequalitieshermite-hadamard-type inequalitiesconvex functionsconvex functions on the coordinates26b2526d1035a23 |
| spellingShingle | Jleli Mohamed Samet Bessem On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane Open Mathematics systems of partial differential inequalities hermite-hadamard-type inequalities convex functions convex functions on the coordinates 26b25 26d10 35a23 |
| title | On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane |
| title_full | On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane |
| title_fullStr | On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane |
| title_full_unstemmed | On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane |
| title_short | On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane |
| title_sort | on hermite hadamard type inequalities for systems of partial differential inequalities in the plane |
| topic | systems of partial differential inequalities hermite-hadamard-type inequalities convex functions convex functions on the coordinates 26b25 26d10 35a23 |
| url | https://doi.org/10.1515/math-2023-0115 |
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