{"title":"齐次紧空间上的均值逼近","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":"{\"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}","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}
Approximation in mean on homogeneous compact spaces
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.