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Matematicheskie Zametki, 1996, Volume 60, Issue 5, Pages 658–669
DOI: https://doi.org/10.4213/mzm1879 (Mi mzm1879) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized polynomial approximation providing the best reference

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (206 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1879
Abstract: We pose the extremum problem of finding a polynomial approximation for a function of several variables so that this approximation by a fragment of the function provides the best reference. We obtain an upper bound for the modulus of informativity of polynomials and rational functions.
Received: 26.08.1994
Revised: 23.05.1995
English version:
Mathematical Notes, 1996, Volume 60, Issue 5, Pages 495–502
DOI: https://doi.org/10.1007/BF02309163
Bibliographic databases:
UDC: 629.7+518.5
Language: Russian
Citation: V. I. Berdyshev, “Generalized polynomial approximation providing the best reference”, Mat. Zametki, 60:5 (1996), 658–669; Math. Notes, 60:5 (1996), 495–502
Citation in format AMSBIB
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\paper Generalized polynomial approximation providing the best reference
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\pages 658--669
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\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 5
\pages 495--502
\crossref{https://doi.org/10.1007/BF02309163}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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