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Matematicheskie Zametki, 1996, Volume 59, Issue 6, Pages 893–908
DOI: https://doi.org/10.4213/mzm1787 (Mi mzm1787) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Convergence of the truncation error in calculating singular convolutions

D. V. Sushko

Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (226 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1787
Abstract: We study the truncation error in the problem of calculating singular convolutions, that is, in the problem of approximating an unbounded linear operator of a certain specific form (of a singular convolution) by using discrete information about the operator. We consider the convergence of the truncation error and obtain necessary and sufficient convergence conditions as well as some effective estimates for the error.
Received: 23.06.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 6, Pages 646–656
DOI: https://doi.org/10.1007/BF02307214
Bibliographic databases:
UDC: 517
Language: Russian
Citation: D. V. Sushko, “Convergence of the truncation error in calculating singular convolutions”, Mat. Zametki, 59:6 (1996), 893–908; Math. Notes, 59:6 (1996), 646–656
Citation in format AMSBIB
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\by D.~V.~Sushko
\paper Convergence of the truncation error in calculating singular convolutions
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 6
\pages 893--908
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\zmath{https://zbmath.org/?q=an:0904.65137}
\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 6
\pages 646--656
\crossref{https://doi.org/10.1007/BF02307214}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VM73200029}
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  • https://doi.org/10.4213/mzm1787
  • https://www.mathnet.ru/eng/mzm/v59/i6/p893
    • This publication is cited in the following 2 articles:
    1. Hegland M., “Error Bounds for Spectral Enhancement Which Are Based on Variable Hilbert Scale Inequalities”, J. Integral Equ. Appl., 22:2 (2010), 285–312  crossref  mathscinet  zmath  isi  elib  scopus
    2. Sushko, DV, “Reconstruction of discontinuities of singular convolution by high-resolution algorithms”, Doklady Akademii Nauk, 352:5 (1997), 598  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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