{"title":"Approximation in mean on homogeneous compact spaces","authors":"Duglas Ugulava","doi":"10.1016/j.trmi.2017.02.003","DOIUrl":null,"url":null,"abstract":"<div><p>Jackson’s type theorem on approximation of square integrable functions is proved for functions defined on homogeneous spaces with a compact transitive transformation group actions. An example is proved which illustrates the theorem.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 231-237"},"PeriodicalIF":0.3000,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.02.003","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809216300617","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Jackson’s type theorem on approximation of square integrable functions is proved for functions defined on homogeneous spaces with a compact transitive transformation group actions. An example is proved which illustrates the theorem.
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