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Sbornik: Mathematics, 2008, Volume 199, Issue 8, Pages 1251–1262
DOI: https://doi.org/10.1070/SM2008v199n08ABEH003961 (Mi sm4089) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Best approximation to monomials on a cube

V. A. Yudin

Moscow Power Engineering Institute (Technical University)
English version PDF (272 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM2008v199n08ABEH003961
Abstract: The paper considers a multivariate analogue of the Chebyshev problem on the cube concerning the construction of polynomials of least deviation from zero. A classification of monomials possessing a unique polynomial of best approximation in the space of continuous functions on the unit cube in $\mathbb R^n$ is given. Precise solutions in some weighted spaces $L_p$ are found.
Received: 15.11.2007 and 27.02.2008
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A10; Secondary 41A25
Language: English
Original paper language: Russian
Citation: V. A. Yudin, “Best approximation to monomials on a cube”, Sb. Math., 199:8 (2008), 1251–1262
Citation in format AMSBIB
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\by V.~A.~Yudin
\paper Best approximation to monomials on a~cube
\jour Sb. Math.
\yr 2008
\vol 199
\issue 8
\pages 1251--1262
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  • https://doi.org/10.1070/SM2008v199n08ABEH003961
  • https://www.mathnet.ru/eng/sm/v199/i8/p149
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:408
    Russian version PDF:208
    English version PDF:46
    References:47
    First page:6
     
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