{"title":"一些新的 f-发散度量及其基本性质","authors":"Sever Dragomir","doi":"10.36753/mathenot.1362706","DOIUrl":null,"url":null,"abstract":"In this paper we introduce some new f-divergence measures that we call t-asymmetric/symmetric divergence measure and integral divergence measure, establish their joint convexity and provide some inequalities that connect these f-divergences to the classical one intyroduced by Csiszar in 1963. Applications for the dichotomy class of convex functions are provided as well.","PeriodicalId":489457,"journal":{"name":"Mathematical sciences and applications e-notes","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some New f-Divergence Measures and Their Basic Properties\",\"authors\":\"Sever Dragomir\",\"doi\":\"10.36753/mathenot.1362706\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce some new f-divergence measures that we call t-asymmetric/symmetric divergence measure and integral divergence measure, establish their joint convexity and provide some inequalities that connect these f-divergences to the classical one intyroduced by Csiszar in 1963. Applications for the dichotomy class of convex functions are provided as well.\",\"PeriodicalId\":489457,\"journal\":{\"name\":\"Mathematical sciences and applications e-notes\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical sciences and applications e-notes\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.1362706\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical sciences and applications e-notes","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.36753/mathenot.1362706","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some New f-Divergence Measures and Their Basic Properties
In this paper we introduce some new f-divergence measures that we call t-asymmetric/symmetric divergence measure and integral divergence measure, establish their joint convexity and provide some inequalities that connect these f-divergences to the classical one intyroduced by Csiszar in 1963. Applications for the dichotomy class of convex functions are provided as well.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
