{"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":"<div><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></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"317 - 323"},"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://link.springer.com/article/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}
引用次数: 0
Abstract
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
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
