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Matematicheskie Zametki, 2010, Volume 88, Issue 2, Pages 217–228
DOI: https://doi.org/10.4213/mzm8299 (Mi mzm8299) 		 
Rate of Pointwise Approximation of Functions by the Cesàro $(C,\beta)$-Means of Their Fourier Series

A. M. D'yachenko

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm8299
Abstract: We consider the interrelation between the smoothness of a function at a fixed point with the behavior at this point of the Cesàro $(C,\beta)$-means of the Fourier series of this function.
Keywords: pointwise approximation of a function, smoothness of a function, Fourier series, Cesàro means, Dirichlet kernel.
Received: 21.05.2009
Revised: 29.10.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 2, Pages 198–208
DOI: https://doi.org/10.1134/S0001434610070199
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: A. M. D'yachenko, “Rate of Pointwise Approximation of Functions by the Cesàro $(C,\beta)$-Means of Their Fourier Series”, Mat. Zametki, 88:2 (2010), 217–228; Math. Notes, 88:2 (2010), 198–208
Citation in format AMSBIB
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