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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
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
DOI:
https://doi.org/10.4213/mzm8572
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English version:
Mathematical Notes, 2011, 89:4, 484–498
Bibliographic databases:
UDC:
517.51 Received: 24.07.2009 Revised: 08.09.2010
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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http://mi.mathnet.ru/eng/mz8572https://doi.org/10.4213/mzm8572 http://mi.mathnet.ru/eng/mz/v89/i4/p508
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This publication is cited in the following articles:
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Chikina T.S., “Approximation by Zygmund-Riesz Means in the P-Variation Metric”, Anal. Math., 39:1 (2013), 29–44
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