{"title":"用抽象的凸性来解释aczsamei不等式","authors":"R. Tinaztepe, G. Tinaztepe","doi":"10.7153/mia-2021-24-44","DOIUrl":null,"url":null,"abstract":". In this study, the Acz´el inequality is considered and a new simple proof of the inequal- ity is provided. An extension and a sharper version of this inequality are obtained by performing the results based on the optimality conditions of abstract convex functions. Mathematics 26D07.","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":"2","resultStr":"{\"title\":\"A sharpened version of Aczél inequality by abstract convexity\",\"authors\":\"R. Tinaztepe, G. Tinaztepe\",\"doi\":\"10.7153/mia-2021-24-44\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this study, the Acz´el inequality is considered and a new simple proof of the inequal- ity is provided. An extension and a sharper version of this inequality are obtained by performing the results based on the optimality conditions of abstract convex functions. Mathematics 26D07.\",\"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\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Inequalities & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/mia-2021-24-44\",\"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-2021-24-44","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
A sharpened version of Aczél inequality by abstract convexity
. In this study, the Acz´el inequality is considered and a new simple proof of the inequal- ity is provided. An extension and a sharper version of this inequality are obtained by performing the results based on the optimality conditions of abstract convex functions. Mathematics 26D07.
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.