{"title":"在可调和半群上定义的粗糙统计收敛函数","authors":"Erdinç Dündar, Uǧur Ulusu","doi":"10.1007/s40010-024-00881-z","DOIUrl":null,"url":null,"abstract":"<p>In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points (<span>\\(st-\\text {LIM}^r h\\)</span>) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between <span>\\(st-\\text {LIM}^r h\\)</span> and statistical cluster points are discussed</p>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rough Statistical Convergent Functions Defined on Amenable Semigroups\",\"authors\":\"Erdinç Dündar, Uǧur Ulusu\",\"doi\":\"10.1007/s40010-024-00881-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points (<span>\\\\(st-\\\\text {LIM}^r h\\\\)</span>) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between <span>\\\\(st-\\\\text {LIM}^r h\\\\)</span> and statistical cluster points are discussed</p>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://doi.org/10.1007/s40010-024-00881-z\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1007/s40010-024-00881-z","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Rough Statistical Convergent Functions Defined on Amenable Semigroups
In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points (\(st-\text {LIM}^r h\)) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between \(st-\text {LIM}^r h\) and statistical cluster points are discussed