Improvements of the Hermite-Hadamard inequality for the simplex

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 gen...

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Autor principal: Pavić, Zlatko
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209449/
https://www.ncbi.nlm.nih.gov/pubmed/28111503
http://dx.doi.org/10.1186/s13660-016-1273-z
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author Pavić, Zlatko
author_facet Pavić, Zlatko
author_sort Pavić, Zlatko
collection PubMed
description 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.
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spelling pubmed-52094492017-01-18 Improvements of the Hermite-Hadamard inequality for the simplex Pavić, Zlatko J Inequal Appl Research 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. Springer International Publishing 2017-01-03 2017 /pmc/articles/PMC5209449/ /pubmed/28111503 http://dx.doi.org/10.1186/s13660-016-1273-z Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Pavić, Zlatko
Improvements of the Hermite-Hadamard inequality for the simplex
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 Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209449/
https://www.ncbi.nlm.nih.gov/pubmed/28111503
http://dx.doi.org/10.1186/s13660-016-1273-z
work_keys_str_mv AT paviczlatko improvementsofthehermitehadamardinequalityforthesimplex

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