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Sbornik: Mathematics, 2021, Volume 212, Issue 11, Pages 1588–1607
DOI: https://doi.org/10.1070/SM9484 (Mi sm9484) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On optimal recovery of values of linear operators from information known with a stochastic error

K. Yu. Krivosheev

Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, Russia
English version PDF (498 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM9484
Abstract: The optimal recovery of values of linear operators is considered for classes of elements the information on which is known with a stochastic error. Linear optimal recovery methods are constructed that, in general, do not use all the available information for the measurements. As a consequence, an optimal method is described for recovering a function from a finite set of its Fourier coefficients specified with a stochastic error.
Bibliography: 14 titles.
Keywords: optimal recovery, minimax estimation, Fourier coefficients, extremal problem, linear operator.
Received: 24.07.2020 and 08.04.2021
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 11, Pages 89–108
DOI: https://doi.org/10.4213/sm9484
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
MSC: 41A65
Language: English
Original paper language: Russian
Citation: K. Yu. Krivosheev, “On optimal recovery of values of linear operators from information known with a stochastic error”, Sb. Math., 212:11 (2021), 1588–1607
Citation in format AMSBIB
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\by K.~Yu.~Krivosheev
\paper On optimal recovery of values of linear operators from information known with a~stochastic error
\jour Sb. Math.
\yr 2021
\vol 212
\issue 11
\pages 1588--1607
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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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    Abstract page:237
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    English version PDF:13
    Russian version HTML:73
    References:30
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