Improvements of the Hermite-Hadamard inequality for the simplex
Abstract In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement o...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1273-z |
| _version_ | 1818952872515076096 |
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| author | Zlatko Pavić |
| author_facet | Zlatko Pavić |
| author_sort | Zlatko Pavić |
| collection | DOAJ |
| description | Abstract In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement of the generalized inequality is obtained in completion of this work. |
| first_indexed | 2024-12-20T09:57:17Z |
| format | Article |
| id | doaj.art-13572fc83b7d45078b894a2760951cec |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-20T09:57:17Z |
| publishDate | 2017-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-13572fc83b7d45078b894a2760951cec2022-12-21T19:44:25ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-01-012017111210.1186/s13660-016-1273-zImprovements of the Hermite-Hadamard inequality for the simplexZlatko Pavić0Department of Mathematics, Mechanical Engineering Faculty in Slavonski Brod, University of OsijekAbstract In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement of the generalized inequality is obtained in completion of this work.http://link.springer.com/article/10.1186/s13660-016-1273-zconvex combinationsimplexthe Hermite-Hadamard inequality |
| spellingShingle | Zlatko Pavić Improvements of the Hermite-Hadamard inequality for the simplex Journal of Inequalities and Applications convex combination simplex the Hermite-Hadamard inequality |
| title | Improvements of the Hermite-Hadamard inequality for the simplex |
| title_full | Improvements of the Hermite-Hadamard inequality for the simplex |
| title_fullStr | Improvements of the Hermite-Hadamard inequality for the simplex |
| title_full_unstemmed | Improvements of the Hermite-Hadamard inequality for the simplex |
| title_short | Improvements of the Hermite-Hadamard inequality for the simplex |
| title_sort | improvements of the hermite hadamard inequality for the simplex |
| topic | convex combination simplex the Hermite-Hadamard inequality |
| url | http://link.springer.com/article/10.1186/s13660-016-1273-z |
| work_keys_str_mv | AT zlatkopavic improvementsofthehermitehadamardinequalityforthesimplex |