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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 9, Pages 1474–1485
DOI: https://doi.org/10.7868/S0044466915090173 (Mi zvmmf10260) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes

A. Zh. Zhubanysheva, N. Temirgaliev

Gumilev Eurasian National University, ul. Satpayev 2, Astana, 010008, Kazakhstan
Full-text PDF (612 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466915090173
Abstract: The computational (numerical) diameter is used to completely solve the problem of approximate differentiation of a function given inexact information in the form of an arbitrary finite set of trigonometric Fourier coefficients.
Key words: approximate differentiation, informative cardinality of a given class of functionals, recovery from inexact information, limiting error, computational (numerical) diameter, massive limiting error.
Received: 03.03.2014
Revised: 18.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 9, Pages 1432–1443
DOI: https://doi.org/10.1134/S0965542515090146
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. Zh. Zhubanysheva, N. Temirgaliev, “Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1474–1485; Comput. Math. Math. Phys., 55:9 (2015), 1432–1443
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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:86
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