{"title":"Approximation by Haar and Walsh Polynomials in Weighted Generalized Grand Lebesgue Space","authors":"B. I. Golubov, S. S. Volosivets","doi":"10.3103/s1068362324700079","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In the paper we give direct theorems on approximation by Haar and Walsh polynomials in weighted generalized grand Lebesgue space. Also the degree of approximation by Borel, Euler, Riesz–Zygmund, and Nörlund linear means of Walsh–Paley–Fourier series are treated in the above cited space.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3103/s1068362324700079","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
In the paper we give direct theorems on approximation by Haar and Walsh polynomials in weighted generalized grand Lebesgue space. Also the degree of approximation by Borel, Euler, Riesz–Zygmund, and Nörlund linear means of Walsh–Paley–Fourier series are treated in the above cited space.