Approximation by Nörlund means of double Fourier series for Lipschitz functions
type: Item
instance of: scholarly article
title: Approximation by Nörlund means of double Fourier series for Lipschitz functions
zbMATH Open document ID: 0636.42003
DOI: 10.1016/0021-9045(87)90012-8
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: The authors study the rate of uniform approximation by Nörlund means of the rectangular partials sums of the double Fourier series of the rectangular partial sums of the double Fourier series of a function f(x,y) belonging to the class Lip \(\alpha\), \(0<\alpha \leq 1\), on the two- dimensional torus \(-\pi <x,y\leq \pi\). As a special case they also obtain the rate of uniform approximation by double Cesàro means.
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 40G05
zbMATH DE Number: 4036385
zbMATH Keywords: rate of uniform approximation
zbMATH Keywords: Nörlund means
zbMATH Keywords: double Fourier series
zbMATH Keywords: Cesàro means
author: Ferenc Móricz
author: Billy E. Rhoades
reviewed by: Babban Prasad Mishra
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90012-8
OpenAlex ID: W1985509760
cites work: Q4049512
cites work: A Survey of Degree of Approximation of Continuous Functions
cites work: Q5517860
cites work: The Kronecker lemmas for multiple series and some applications
cites work: Q4039793
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description: scientific article; zbMATH DE number 4036385