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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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/11/1616 |
| _version_ | 1827646657362132992 |
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| author | Răzvan-Cornel Sfetcu Sorina-Cezarina Sfetcu Vasile Preda |
| author_facet | Răzvan-Cornel Sfetcu Sorina-Cezarina Sfetcu Vasile Preda |
| author_sort | Răzvan-Cornel Sfetcu |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-09T19:05:35Z |
| format | Article |
| id | doaj.art-8a29b76ac99d43b89b446fae5c31b05e |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T19:05:35Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-8a29b76ac99d43b89b446fae5c31b05e2023-11-24T04:37:09ZengMDPI AGEntropy1099-43002022-11-012411161610.3390/e24111616Some Properties of Weighted Tsallis and Kaniadakis DivergencesRăzvan-Cornel Sfetcu0Sorina-Cezarina Sfetcu1Vasile Preda2Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, RomaniaFaculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, RomaniaFaculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, RomaniaWe 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.https://www.mdpi.com/1099-4300/24/11/1616Tsallis logarithmKaniadakis logarithmweighted Tsallis divergenceweighted Kaniadakis divergence |
| spellingShingle | Răzvan-Cornel Sfetcu Sorina-Cezarina Sfetcu Vasile Preda Some Properties of Weighted Tsallis and Kaniadakis Divergences Entropy Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence |
| 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 | Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence |
| url | https://www.mdpi.com/1099-4300/24/11/1616 |
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