{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T20:02:48Z","timestamp":1778011368281,"version":"3.51.4"},"reference-count":41,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,5]],"date-time":"2022-11-05T00:00:00Z","timestamp":1667606400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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\u2013Leibler divergence and show that are pseudo-additive.<\/jats:p>","DOI":"10.3390\/e24111616","type":"journal-article","created":{"date-parts":[[2022,11,8]],"date-time":"2022-11-08T11:46:43Z","timestamp":1667908003000},"page":"1616","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Some Properties of Weighted Tsallis and Kaniadakis Divergences"],"prefix":"10.3390","volume":"24","author":[{"given":"R\u0103zvan-Cornel","family":"Sfetcu","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania"}]},{"given":"Sorina-Cezarina","family":"Sfetcu","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0686-3718","authenticated-orcid":false,"given":"Vasile","family":"Preda","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania"},{"name":"\u201cGheorghe Mihoc-Caius Iacob\u201d Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania"},{"name":"\u201cCostin C. Kiri\u0163escu\u201d National Institute of Economic Research, Calea 13 Septembrie 13, 050711 Bucharest, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF01016429","article-title":"Possible generalization of Boltzmann-Gibbs statistics","volume":"52","author":"Tsallis","year":"1988","journal-title":"J. Stat. 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