{"id":"https://openalex.org/W4308579824","doi":"https://doi.org/10.3390/e24111616","title":"Some Properties of Weighted Tsallis and Kaniadakis Divergences","display_name":"Some Properties of Weighted Tsallis and Kaniadakis Divergences","publication_year":2022,"publication_date":"2022-11-05","ids":{"openalex":"https://openalex.org/W4308579824","doi":"https://doi.org/10.3390/e24111616","pmid":"https://pubmed.ncbi.nlm.nih.gov/36359706"},"language":"en","primary_location":{"id":"doi:10.3390/e24111616","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111616","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1616/pdf?version=1668655262","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/24/11/1616/pdf?version=1668655262","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065229136","display_name":"R\u0103zvan-Cornel Sfetcu","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"R\u0103zvan-Cornel Sfetcu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania","institution_ids":["https://openalex.org/I141595442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058265174","display_name":"Sorina-Cezarina Sfetcu","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Sorina-Cezarina Sfetcu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania","institution_ids":["https://openalex.org/I141595442"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074425883","display_name":"Vasile Preda","orcid":"https://orcid.org/0000-0002-0686-3718"},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]},{"id":"https://openalex.org/I4210106469","display_name":"Institute of National Economy","ror":"https://ror.org/011gpzb03","country_code":"RO","type":"facility","lineage":["https://openalex.org/I4210106469"]},{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Vasile Preda","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania","\u201cCostin C. Kiri\u0163escu\u201d National Institute of Economic Research, Calea 13 Septembrie 13, 050711 Bucharest, Romania","\u201cGheorghe Mihoc-Caius Iacob\u201d Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania","\"Gheorghe Mihoc-Caius Iacob\" Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania"],"raw_orcid":"https://orcid.org/0000-0002-0686-3718","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania","institution_ids":["https://openalex.org/I141595442"]},{"raw_affiliation_string":"\u201cCostin C. Kiri\u0163escu\u201d National Institute of Economic Research, Calea 13 Septembrie 13, 050711 Bucharest, Romania","institution_ids":["https://openalex.org/I4210106469"]},{"raw_affiliation_string":"\u201cGheorghe Mihoc-Caius Iacob\u201d Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]},{"raw_affiliation_string":"\"Gheorghe Mihoc-Caius Iacob\" Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065229136"],"corresponding_institution_ids":["https://openalex.org/I141595442"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6257,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6689008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"11","first_page":"1616","last_page":"1616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9717000126838684,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tsallis-entropy","display_name":"Tsallis entropy","score":0.805534839630127},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7643488645553589},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6484495997428894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6463278532028198},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6056710481643677},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.44818875193595886},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4417099356651306},{"id":"https://openalex.org/keywords/tsallis-statistics","display_name":"Tsallis statistics","score":0.41657042503356934},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2672247588634491},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22383350133895874}],"concepts":[{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.805534839630127},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7643488645553589},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6484495997428894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6463278532028198},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6056710481643677},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44818875193595886},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4417099356651306},{"id":"https://openalex.org/C2780056601","wikidata":"https://www.wikidata.org/wiki/Q7849339","display_name":"Tsallis statistics","level":2,"score":0.41657042503356934},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2672247588634491},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22383350133895874},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e24111616","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111616","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1616/pdf?version=1668655262","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:36359706","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36359706","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:8a29b76ac99d43b89b446fae5c31b05e","is_oa":true,"landing_page_url":"https://doaj.org/article/8a29b76ac99d43b89b446fae5c31b05e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 24, Iss 11, p 1616 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/11/1616/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24111616","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 24; Issue 11; Pages: 1616","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9689725","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9689725","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e24111616","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111616","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1616/pdf?version=1668655262","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4308579824.pdf","grobid_xml":"https://content.openalex.org/works/W4308579824.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W373249205","https://openalex.org/W1965555277","https://openalex.org/W1975027074","https://openalex.org/W1982404781","https://openalex.org/W1983874169","https://openalex.org/W1988154370","https://openalex.org/W1990100650","https://openalex.org/W1998513071","https://openalex.org/W2007079633","https://openalex.org/W2007194382","https://openalex.org/W2007452691","https://openalex.org/W2008400532","https://openalex.org/W2012502602","https://openalex.org/W2028751250","https://openalex.org/W2034029259","https://openalex.org/W2035632748","https://openalex.org/W2049969717","https://openalex.org/W2058910911","https://openalex.org/W2079584573","https://openalex.org/W2081026705","https://openalex.org/W2088311961","https://openalex.org/W2125538435","https://openalex.org/W2170085251","https://openalex.org/W2235514732","https://openalex.org/W2280232997","https://openalex.org/W2289231857","https://openalex.org/W2343193813","https://openalex.org/W2492378439","https://openalex.org/W2612857253","https://openalex.org/W2963013012","https://openalex.org/W3016353649","https://openalex.org/W3103986941","https://openalex.org/W3104069146","https://openalex.org/W3135802851","https://openalex.org/W3148089400","https://openalex.org/W4206556183","https://openalex.org/W4214703422","https://openalex.org/W4242781808","https://openalex.org/W4298542497","https://openalex.org/W4308579824","https://openalex.org/W6844380703"],"related_works":["https://openalex.org/W4324027449","https://openalex.org/W4287201911","https://openalex.org/W2079912870","https://openalex.org/W2025175839","https://openalex.org/W4237153085","https://openalex.org/W3007089344","https://openalex.org/W2940923762","https://openalex.org/W3159939403","https://openalex.org/W2548109590","https://openalex.org/W3191718714"],"abstract_inverted_index":{"We":[0],"are":[1,29,43],"concerned":[2],"with":[3,34],"the":[4],"weighted":[5],"Tsallis":[6,22],"and":[7,21,23,40],"Kaniadakis":[8,24],"divergences":[9,20],"between":[10,18],"two":[11],"measures.":[12],"More":[13],"precisely,":[14],"we":[15],"find":[16],"inequalities":[17],"these":[19],"logarithms,":[25],"prove":[26],"that":[27,36,42],"they":[28],"limited":[30],"by":[31],"similar":[32],"bounds":[33],"those":[35],"limit":[37],"Kullback-Leibler":[38],"divergence":[39],"show":[41],"pseudo-additive.":[44]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}