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Matematicheskie Zametki, 2011, Volume 89, Issue 4, Pages 508–523
DOI: https://doi.org/10.4213/mzm8572 (Mi mzm8572) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Order of Approximation by Riesz Means in Multiplicative Systems in the Classes $E_X[\varepsilon]$

T. V. Iofina

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (544 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/mzm8572
Abstract: We establish the order of approximation by Riesz means of the Fourier series in a multiplicative system of a class of functions with given majorant of the sequence of best approximations. In some cases, approximations by Riesz means and best approximations are considered in a specific space, but, in other cases, approximations by Riesz means are considered in spaces with a stronger norm.
Keywords: Riesz mean, approximation by Riesz means, Fourier series, multiplicative system, Vilenkin system, Dirichlet kernel, Fejér kernel, Hardy space.
Received: 24.07.2009
Revised: 08.09.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 4, Pages 484–498
DOI: https://doi.org/10.1134/S0001434611030205
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: T. V. Iofina, “On the Order of Approximation by Riesz Means in Multiplicative Systems in the Classes $E_X[\varepsilon]$”, Mat. Zametki, 89:4 (2011), 508–523; Math. Notes, 89:4 (2011), 484–498
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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