On linear summation methods of Fourier-Laplace series
type: Item
instance of: scholarly article
title: On linear summation methods of Fourier-Laplace series
zbMATH Open document ID: 0891.42007
DOI: 10.1007/BF02789834
author: Ping Tang
published in: Analysis Mathematica
publication date: 1998-05-06T00:00:00Z
review text: This paper deals with the problem of approximation by linear means of Fourier-Laplace series. The author proves two theorems related to an upper estimate of the Lebesgue function of such summation method. Using the estimates obtained, he gets necessary and sufficient conditions for any continuous function on the unit sphere in \(R^n\), \(n\geq 3\), to admit a uniform approximation by linear means of its Fourier-Laplace expansion.
Mathematics Subject Classification ID: 42B08
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 1149454
zbMATH Keywords: linear mean of Fourier-Laplace series
zbMATH Keywords: Lebesgue function
reviewed by: Saulius Norvidas
MaRDI profile type: Publication
cites work: Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
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description: scientific article; zbMATH DE number 1149454