Some Properties of Weighted Tsallis and Kaniadakis Divergences

We are concerned with the weighted Tsallis and Kaniadakis divergences between two measures. More precisely, we find inequalities between these divergences and Tsallis and Kaniadakis logarithms, prove that they are limited by similar bounds with those that limit Kullback–Leibler divergence and show t...

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Detalles Bibliográficos
Autores principales: Sfetcu, Răzvan-Cornel, Sfetcu, Sorina-Cezarina, Preda, Vasile
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689725/
https://www.ncbi.nlm.nih.gov/pubmed/36359706
http://dx.doi.org/10.3390/e24111616
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author Sfetcu, Răzvan-Cornel
Sfetcu, Sorina-Cezarina
Preda, Vasile
author_facet Sfetcu, Răzvan-Cornel
Sfetcu, Sorina-Cezarina
Preda, Vasile
author_sort Sfetcu, Răzvan-Cornel
collection PubMed
description We are concerned with the weighted Tsallis and Kaniadakis divergences between two measures. More precisely, we find inequalities between these divergences and Tsallis and Kaniadakis logarithms, prove that they are limited by similar bounds with those that limit Kullback–Leibler divergence and show that are pseudo-additive.
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spelling pubmed-96897252022-11-25 Some Properties of Weighted Tsallis and Kaniadakis Divergences Sfetcu, Răzvan-Cornel Sfetcu, Sorina-Cezarina Preda, Vasile Entropy (Basel) Article We are concerned with the weighted Tsallis and Kaniadakis divergences between two measures. More precisely, we find inequalities between these divergences and Tsallis and Kaniadakis logarithms, prove that they are limited by similar bounds with those that limit Kullback–Leibler divergence and show that are pseudo-additive. MDPI 2022-11-05 /pmc/articles/PMC9689725/ /pubmed/36359706 http://dx.doi.org/10.3390/e24111616 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sfetcu, Răzvan-Cornel
Sfetcu, Sorina-Cezarina
Preda, Vasile
Some Properties of Weighted Tsallis and Kaniadakis Divergences
title Some Properties of Weighted Tsallis and Kaniadakis Divergences
title_full Some Properties of Weighted Tsallis and Kaniadakis Divergences
title_fullStr Some Properties of Weighted Tsallis and Kaniadakis Divergences
title_full_unstemmed Some Properties of Weighted Tsallis and Kaniadakis Divergences
title_short Some Properties of Weighted Tsallis and Kaniadakis Divergences
title_sort some properties of weighted tsallis and kaniadakis divergences
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689725/
https://www.ncbi.nlm.nih.gov/pubmed/36359706
http://dx.doi.org/10.3390/e24111616
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