About the sharpness of the Jensen inequality

The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involv...

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Detalles Bibliográficos
Autores principales: Pečarić, Ðilda, Pečarić, Josip, Rodić, Mirna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290690/
https://www.ncbi.nlm.nih.gov/pubmed/30839855
http://dx.doi.org/10.1186/s13660-018-1923-4
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author Pečarić, Ðilda
Pečarić, Josip
Rodić, Mirna
author_facet Pečarić, Ðilda
Pečarić, Josip
Rodić, Mirna
author_sort Pečarić, Ðilda
collection PubMed
description The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involving various types of f-divergences and Zipf–Mandelbrot law are presented.
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spelling pubmed-62906902018-12-27 About the sharpness of the Jensen inequality Pečarić, Ðilda Pečarić, Josip Rodić, Mirna J Inequal Appl Research The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involving various types of f-divergences and Zipf–Mandelbrot law are presented. Springer International Publishing 2018-12-10 2018 /pmc/articles/PMC6290690/ /pubmed/30839855 http://dx.doi.org/10.1186/s13660-018-1923-4 Text en © The Author(s) 2018 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
Pečarić, Ðilda
Pečarić, Josip
Rodić, Mirna
About the sharpness of the Jensen inequality
title About the sharpness of the Jensen inequality
title_full About the sharpness of the Jensen inequality
title_fullStr About the sharpness of the Jensen inequality
title_full_unstemmed About the sharpness of the Jensen inequality
title_short About the sharpness of the Jensen inequality
title_sort about the sharpness of the jensen inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290690/
https://www.ncbi.nlm.nih.gov/pubmed/30839855
http://dx.doi.org/10.1186/s13660-018-1923-4
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