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Matematicheskie Zametki, 2004, Volume 75, Issue 3, Pages 435–443
DOI: https://doi.org/10.4213/mzm38 (Mi mzm38) 		 
General Lebesgue Constants for Linear Mean Subsequences of Fourier Sums

L. P. Falaleev

Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan
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DOI: https://doi.org/10.4213/mzm38
Abstract: Simple sufficient conditions for the boundedness of the norms of the general matrix operators constructed from the subsequences of partial sums of trigonometric Fourier series with polynomial order of growth are obtained. They guarantee a particular rate of approximation for subclasses of continuous functions.
Received: 10.05.2000
English version:
Mathematical Notes, 2004, Volume 75, Issue 3, Pages 401–409
DOI: https://doi.org/10.1023/B:MATN.0000023319.27166.99
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: L. P. Falaleev, “General Lebesgue Constants for Linear Mean Subsequences of Fourier Sums”, Mat. Zametki, 75:3 (2004), 435–443; Math. Notes, 75:3 (2004), 401–409
Citation in format AMSBIB
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