Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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) Russian version article
References:
PDF
HTML
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
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
\Bibitem{Kri21}
\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
\mathnet{http://mi.mathnet.ru//eng/sm9484}
\crossref{https://doi.org/10.1070/SM9484}
\zmath{https://zbmath.org/?q=an:1496.41015}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021SbMat.212.1588K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000745284900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85124221266}
Linking options:
  • https://www.mathnet.ru/eng/sm9484
  • https://doi.org/10.1070/SM9484
  • https://www.mathnet.ru/eng/sm/v212/i11/p89
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:244
    Russian version PDF:33
    English version PDF:14
    Russian version HTML:78
    References:33
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024