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Matematicheskie Zametki, 1997, Volume 62, Issue 1, Pages 18–34
DOI: https://doi.org/10.4213/mzm1584 (Mi mzm1584) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Approximation to the Sobolev classes $W_q^r$ of functions of several variables by bilinear forms in $L_p$ for $2\le q\le p\le\infty$

M.-B. Babayev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (247 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1584
Abstract: We study the approximation of functions of several variables by bilinear forms that are the pairwise products of functions of fewer variables. The order of approximation of Sobolev classes $W_q^r$ by bilinear forms in $L_p$ for $2 \le q \le p \le\infty$ is found.
Received: 27.06.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 1, Pages 15–29
DOI: https://doi.org/10.1007/BF02356060
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. Babayev, “Approximation to the Sobolev classes $W_q^r$ of functions of several variables by bilinear forms in $L_p$ for $2\le q\le p\le\infty$”, Mat. Zametki, 62:1 (1997), 18–34; Math. Notes, 62:1 (1997), 15–29
Citation in format AMSBIB
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\by M.~Babayev
\paper Approximation to the Sobolev classes $W_q^r$ of functions of several variables by bilinear forms in $L_p$ for $2\le q\le p\le\infty$
\jour Mat. Zametki
\yr 1997
\vol 62
\issue 1
\pages 18--34
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\crossref{https://doi.org/10.4213/mzm1584}
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\zmath{https://zbmath.org/?q=an:0918.41029}
\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 1
\pages 15--29
\crossref{https://doi.org/10.1007/BF02356060}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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