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Mathematics of the USSR-Sbornik, 1989, Volume 62, Issue 1, Pages 95–109
DOI: https://doi.org/10.1070/SM1989v062n01ABEH003228 (Mi sm2652) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Estimates of the best bilinear approximations of functions of two variables and some of their applications

V. N. Temlyakov
English version PDF (637 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM1989v062n01ABEH003228
Abstract: The orders of the upper bounds over certain classes of functions of two variables for approximations of these functions by sums of products of functions of the individual variables are obtained. As a corollary, optimal estimates are obtained for the singular numbers of integral operators and the Kolmogorov widths of classes of functions having an integral representation with kernels from the classes under consideration.
Bibliography: 20 titles.
Received: 27.03.1986 and 02.12.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 134(176), Number 1(9), Pages 93–107
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A10, 42B05; Secondary 41A10
Language: English
Original paper language: Russian
Citation: V. N. Temlyakov, “Estimates of the best bilinear approximations of functions of two variables and some of their applications”, Mat. Sb. (N.S.), 134(176):1(9) (1987), 93–107; Math. USSR-Sb., 62:1 (1989), 95–109
Citation in format AMSBIB
\Bibitem{Tem87}
\by V.~N.~Temlyakov
\paper Estimates of the best bilinear approximations of functions of two
variables and some of their applications
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 134(176)
\issue 1(9)
\pages 93--107
\mathnet{http://mi.mathnet.ru/sm2652}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=912413}
\zmath{https://zbmath.org/?q=an:0693.41010}
\transl
\jour Math. USSR-Sb.
\yr 1989
\vol 62
\issue 1
\pages 95--109
\crossref{https://doi.org/10.1070/SM1989v062n01ABEH003228}
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  • https://www.mathnet.ru/eng/sm/v176/i1/p93
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:435
    Russian version PDF:152
    English version PDF:5
    References:59
    First page:1
     
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