Some Properties of Weighted Tsallis and Kaniadakis Divergences |
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| Authors: | Ră zvan-Cornel Sfetcu,Sorina-Cezarina Sfetcu,Vasile Preda |
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| Affiliation: | 1.Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania;2.“Gheorghe Mihoc-Caius Iacob” Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania;3.“Costin C. Kiriţescu” National Institute of Economic Research, Calea 13 Septembrie 13, 050711 Bucharest, Romania |
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| Abstract: | ![]()
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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| Keywords: | Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence |
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