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Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 744–750
DOI: https://doi.org/10.4213/mzm3718
(Mi mzm3718)
 

This article is cited in 5 scientific papers (total in 5 papers)

Approximation of Functions of Dirichlet Class by Fejér Means

V. V. Savchuk

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (420 kB) Citations (5)
References:
Abstract: For the Dirichlet classes $\mathscr D_p$ of holomorphic functions in the disk, we obtain the exact orders of best polynomial approximations and of upper bounds for deviations of Fejér means of Taylor series in the Hardy spaces $H_p$.
Keywords: Dirichlet class of holomorphic functions, Fejér mean, best polynomial approximation, Taylor series, Hardy space, Fubini theorem, Riesz theorem.
Received: 10.05.2006
Revised: 18.09.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 665–670
DOI: https://doi.org/10.1134/S0001434607050124
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. V. Savchuk, “Approximation of Functions of Dirichlet Class by Fejér Means”, Mat. Zametki, 81:5 (2007), 744–750; Math. Notes, 81:5 (2007), 665–670
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm3718
  • https://www.mathnet.ru/eng/mzm/v81/i5/p744
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:432
    Full-text PDF :222
    References:73
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