A new trigonometric method of summation and its application to the degree of approximation
type: Item
instance of: scholarly article
title: A new trigonometric method of summation and its application to the degree of approximation
zbMATH Open document ID: 1006.40008
DOI: 10.1007/BF02829755
author: M. C. Fu
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2003-03-04T00:00:00Z
review text: The authors introduce a new trigonometric method of summation being both regular and Fourier effective. They also define a new Banach space where the definition of the norm is given by a further generalization of the generalized Hölder metric. An application of their new method of summation is applied to determine the degree of approximation in the new space.
reviewed by: László Leindler
Mathematics Subject Classification ID: 40C99
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 40G99
Mathematics Subject Classification ID: 26A16
zbMATH DE Number: 1802802
zbMATH Keywords: Banach space
zbMATH Keywords: Hölder metric
MaRDI profile type: Publication
cites work: Tauberian Theorems for Absolute Nörlund Summability
cites work: Degree of approximation of functions by their Fourier series in the generalized Hölder metric
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cites work: Q3886233
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cites work: Approximation of continuous functions by \(T\)-means of Fourier series
cites work: Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
cites work: On the strong approximation by the (\(C,\alpha\))-means of Fourier series. I
cites work: Q3966571
full work available at URL: https://doi.org/10.1007/bf02829755
OpenAlex ID: W2017611245
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description: scientific article; zbMATH DE number 1802802