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Matematicheskie Zametki, 2015, Volume 98, Issue 1, Pages 3–11
DOI: https://doi.org/10.4213/mzm10627 (Mi mzm10627) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Quality of Approximation by Fourier Means in Terms of General Moduli of Smoothness

S. Yu. Artamonov

Lomonosov Moscow State University, Chernomorsky Branch
Full-text PDF (463 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10627
Abstract: The equivalence of the error of approximation by Fourier means and of general moduli of smoothness, provided that their generators are equivalent, is established.
Keywords: Fourier mean, general modulus of smoothness, Bernstein inequality, Jackson-type estimate, planar partition of unity, Fejér mean, Rogozinskii mean, Riesz derivative.
Received: 04.02.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 1, Pages 3–10
DOI: https://doi.org/10.1134/S0001434615070019
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: S. Yu. Artamonov, “Quality of Approximation by Fourier Means in Terms of General Moduli of Smoothness”, Mat. Zametki, 98:1 (2015), 3–11; Math. Notes, 98:1 (2015), 3–10
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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