On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
type: Item
instance of: scholarly article
title: On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
zbMATH Open document ID: 0998.42018
author: Ushangi Goginava
published in: Journal of Approximation Theory
publication date: 2002-11-17T00:00:00Z
review text: Some approximation properties of Cesàro \((C,-\alpha)\) means with \(0<\alpha<1\) of Walsh-Fourier series are given. A sufficient condition for the convergence of the means \(\sigma_n^{-\alpha} f\) to \(f\) in \(L_p\) norm \((1\leq p \leq \infty)\) is obtained. It is also shown that this condition cannot be improved in the case \(p=1\).
reviewed by: Ferenc Weisz
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42B08
zbMATH DE Number: 1750337
zbMATH Keywords: Walsh functions
zbMATH Keywords: Cesàro means
zbMATH Keywords: approximation
MaRDI profile type: Publication
full work available at URL: jath.2001.3632
OpenAlex ID: W2081456334
cites work: CESARO SUMMABILITY OF WALSH-FOURIER SERIES
cites work: Summation of multiple Fourier series in multiplicative systems
cites work: Q4692472
cites work: Q4493405
cites work: Q4240034
cites work: Q3997391
cites work: Q4120988
cites work: Q3918522
DOI: 10.1006/JATH.2001.3632
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description: scientific article; zbMATH DE number 1750337