{"title":"一般线性泛函的上界及其在正交多项式展开式上的应用","authors":"A. Mercer, P. R. Mercer","doi":"10.7153/jca-2019-15-11","DOIUrl":null,"url":null,"abstract":"An upper bound on a linear functional satisfying several constraints is found, then used to provide a short and simple proof of convergence, for orthogonal polynomial expansions. Mathematics subject classification (2010): 42C10, 26D20.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Upper bounds for a general linear functional with application to orthogonal polynomial expansions\",\"authors\":\"A. Mercer, P. R. Mercer\",\"doi\":\"10.7153/jca-2019-15-11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An upper bound on a linear functional satisfying several constraints is found, then used to provide a short and simple proof of convergence, for orthogonal polynomial expansions. Mathematics subject classification (2010): 42C10, 26D20.\",\"PeriodicalId\":73656,\"journal\":{\"name\":\"Journal of classical analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of classical analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/jca-2019-15-11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2019-15-11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Upper bounds for a general linear functional with application to orthogonal polynomial expansions
An upper bound on a linear functional satisfying several constraints is found, then used to provide a short and simple proof of convergence, for orthogonal polynomial expansions. Mathematics subject classification (2010): 42C10, 26D20.
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