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Sbornik: Mathematics, 2002, Volume 193, Issue 3, Pages 387–407
DOI: https://doi.org/10.1070/SM2002v193n03ABEH000637 (Mi sm637) 		 
This article is cited in 40 scientific papers (total in 40 papers)

Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error

G. G. Magaril-Il'yaeva, K. Yu. Osipenkob

a Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
b Moscow State Aviation Technological University
English version PDF (234 kB) Citations (40) Russian version article
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DOI: https://doi.org/10.1070/SM2002v193n03ABEH000637
Abstract: The problems of the optimal recovery of functions and their derivatives from approximate values of their Fourier coefficients are considered. Explicit expressions for optimal recovery methods in classes of smooth and analytic functions defined on various compact manifolds are presented.
Received: 01.11.2001
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A65; Secondary 90C25, 46E20
Language: English
Original paper language: Russian
Citation: G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error”, Sb. Math., 193:3 (2002), 387–407
Citation in format AMSBIB
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\paper Optimal recovery of functions and their derivatives from Fourier coefficients
prescribed with an~error
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\yr 2002
\vol 193
\issue 3
\pages 387--407
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    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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