{"title":"关于广义Csiszár f散度的类美塞不等式","authors":"M. Niezgoda","doi":"10.7153/MIA-2021-24-08","DOIUrl":null,"url":null,"abstract":". In this note, an upper bound for values of a convex function f is shown for some speci fi c arguments of the function. Thus a Mercer like inequality involving generalized Csisz´ar f -divergences is obtained. Special cases of the result are studied. Mathematics","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a Mercer like inequality involving generalized Csiszár f-divergences\",\"authors\":\"M. Niezgoda\",\"doi\":\"10.7153/MIA-2021-24-08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this note, an upper bound for values of a convex function f is shown for some speci fi c arguments of the function. Thus a Mercer like inequality involving generalized Csisz´ar f -divergences is obtained. Special cases of the result are studied. Mathematics\",\"PeriodicalId\":49868,\"journal\":{\"name\":\"Mathematical Inequalities & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Inequalities & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/MIA-2021-24-08\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/MIA-2021-24-08","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
。本文给出了凸函数f的某些特定参数值的上界。由此得到了一个包含广义cissz′ar f -散度的类Mercer不等式。对结果的特殊情况进行了研究。数学
On a Mercer like inequality involving generalized Csiszár f-divergences
. In this note, an upper bound for values of a convex function f is shown for some speci fi c arguments of the function. Thus a Mercer like inequality involving generalized Csisz´ar f -divergences is obtained. Special cases of the result are studied. Mathematics
期刊介绍:
''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.