{"title":"关于具有里兹均值的傅里叶级数的 $$L^1$$ 收敛性的说明","authors":"H. S. Özarslan, M. Ö. Şakar","doi":"10.1134/s000143462403009x","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> In this paper, the problem of <span>\\(L^1\\)</span>-convergence of Fourier series with quasi-monotone coefficients is handled by using the <span>\\((\\bar{N},p_n)\\)</span>-mean. Also, an example is given about the Fourier series of a signal (function) <span>\\(f\\)</span> and its <span>\\((\\bar{N},p_n)\\)</span> mean. </p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on $$L^1$$ -Convergence of Fourier Series with Riesz Mean\",\"authors\":\"H. S. Özarslan, M. Ö. Şakar\",\"doi\":\"10.1134/s000143462403009x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> In this paper, the problem of <span>\\\\(L^1\\\\)</span>-convergence of Fourier series with quasi-monotone coefficients is handled by using the <span>\\\\((\\\\bar{N},p_n)\\\\)</span>-mean. Also, an example is given about the Fourier series of a signal (function) <span>\\\\(f\\\\)</span> and its <span>\\\\((\\\\bar{N},p_n)\\\\)</span> mean. </p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s000143462403009x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s000143462403009x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Note on $$L^1$$ -Convergence of Fourier Series with Riesz Mean
Abstract
In this paper, the problem of \(L^1\)-convergence of Fourier series with quasi-monotone coefficients is handled by using the \((\bar{N},p_n)\)-mean. Also, an example is given about the Fourier series of a signal (function) \(f\) and its \((\bar{N},p_n)\) mean.
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