{"title":"On the Approximative Properties of Fourier Series in Laguerre–Sobolev Polynomials","authors":"R. M. Gadzhimirzaev","doi":"10.1134/s003744662401004x","DOIUrl":null,"url":null,"abstract":"<p>Considering the approximation of a function <span>\\( f \\)</span> from a Sobolev space\nby the partial sums of Fourier series in a system of Sobolev orthogonal polynomials\ngenerated by classical Laguerre polynomials,\nwe obtain an estimate for the convergence rate of the partial sums to <span>\\( f \\)</span>.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","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/s003744662401004x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Considering the approximation of a function \( f \) from a Sobolev space
by the partial sums of Fourier series in a system of Sobolev orthogonal polynomials
generated by classical Laguerre polynomials,
we obtain an estimate for the convergence rate of the partial sums to \( f \).
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