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Sbornik: Mathematics, 1999, Volume 190, Issue 4, Pages 539–560
DOI: https://doi.org/10.1070/sm1999v190n04ABEH000393
(Mi sm393)
 

This article is cited in 4 scientific papers (total in 4 papers)

Bernstein width of a class of functions of finite smoothness

S. N. Kudryavtsev

Dorodnitsyn Computing Centre of the Russian Academy of Sciences
References:
Abstract: A weak asymptotic formula is obtained for the Bernstein $n$-width in the space $L_q(I^d)$ of the class $F_p^{l,\omega }(I^d)$ of functions on the cube $I^d$ such that their generalized partial derivatives up to order $l$ belong to $L_p(I^d)$ and the moduli of continuity in the space $L_p(I^d)$ of all their derivatives of order $l$ are majorized by a fixed modulus of continuity $\omega$.
Received: 14.05.1996 and 09.03.1999
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 4, Pages 63–86
DOI: https://doi.org/10.4213/sm393
Bibliographic databases:
UDC: 517.5
MSC: 41A46, 46E15
Language: English
Original paper language: Russian
Citation: S. N. Kudryavtsev, “Bernstein width of a class of functions of finite smoothness”, Mat. Sb., 190:4 (1999), 63–86; Sb. Math., 190:4 (1999), 539–560
Citation in format AMSBIB
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\by S.~N.~Kudryavtsev
\paper Bernstein width of a~class of functions of finite smoothness
\jour Mat. Sb.
\yr 1999
\vol 190
\issue 4
\pages 63--86
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\transl
\jour Sb. Math.
\yr 1999
\vol 190
\issue 4
\pages 539--560
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Linking options:
  • https://www.mathnet.ru/eng/sm393
  • https://doi.org/10.1070/sm1999v190n04ABEH000393
  • https://www.mathnet.ru/eng/sm/v190/i4/p63
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:396
    Russian version PDF:218
    English version PDF:12
    References:79
    First page:1
     
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