{"title":"非线性傅里叶基级数的若干近似性质","authors":"H. Aslan, A. Guven","doi":"10.36753/mathenot.476784","DOIUrl":null,"url":null,"abstract":"The order of approximation of generalized de la Vallee Poussin means of series with nonlinear Fourier basis was investigated in uniform and Holder norms.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some Approximation Properties of Series with Nonlinear Fourier Basis\",\"authors\":\"H. Aslan, A. Guven\",\"doi\":\"10.36753/mathenot.476784\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The order of approximation of generalized de la Vallee Poussin means of series with nonlinear Fourier basis was investigated in uniform and Holder norms.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.476784\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.476784","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
研究了具有非线性傅里叶基级数的广义de la Vallee Poussin均值在一致范数和Holder范数下的逼近阶。
Some Approximation Properties of Series with Nonlinear Fourier Basis
The order of approximation of generalized de la Vallee Poussin means of series with nonlinear Fourier basis was investigated in uniform and Holder norms.
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