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Sbornik: Mathematics, 1996, Volume 187, Issue 3, Pages 385–402
DOI: https://doi.org/10.1070/SM1996v187n03ABEH000117 (Mi sm117) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Approximation of a partial differential operator by bounded operators on a class of functions of finite smoothness

S. N. Kudryavtsev

Institute for High-Performance Computer Systems, Russian Academy of Sciences
English version PDF (600 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1996v187n03ABEH000117
Abstract: We established the weak asymptotic decrease of the corresponding value in the problem of best approximation in the class of functions for which the moduli of continuity of the leading derivatives of a partial differential operator are majorized by prescribed bounded operators from one space with an integral norm to another.
Received: 03.05.1995
Bibliographic databases:
UDC: 517.5
MSC: Primary 47F05; Secondary 47A58
Language: English
Original paper language: Russian
Citation: S. N. Kudryavtsev, “Approximation of a partial differential operator by bounded operators on a class of functions of finite smoothness”, Sb. Math., 187:3 (1996), 385–402
Citation in format AMSBIB
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\by S.~N.~Kudryavtsev
\paper Approximation of a~partial differential operator by bounded operators on a~class of functions of finite smoothness
\jour Sb. Math.
\yr 1996
\vol 187
\issue 3
\pages 385--402
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  • https://doi.org/10.1070/SM1996v187n03ABEH000117
  • https://www.mathnet.ru/eng/sm/v187/i3/p75
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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