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Matematicheskie Zametki, 2007, Volume 82, Issue 4, Pages 631–636
DOI: https://doi.org/10.4213/mzm3804 (Mi mzm3804) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Polynomials of Best Approximation

V. A. Yudin

Moscow Power Engineering Institute (Technical University)
Full-text PDF (430 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm3804
Abstract: In the space of continuous functions defined on the ball from $\mathbb R^n$, $n\ge2$, we study the set of algebraic polynomials of least deviation from zero. Its width and dimension are estimated.
Keywords: algebraic polynomial of least deviation from zero, Chebyshev polynomial, trigonometric polynomial, Bézout theorem, orthogonal transformation.
Received: 05.06.2006
Revised: 07.12.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 4, Pages 564–568
DOI: https://doi.org/10.1134/S0001434607090337
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Yudin, “On Polynomials of Best Approximation”, Mat. Zametki, 82:4 (2007), 631–636; Math. Notes, 82:4 (2007), 564–568
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm3804
  • https://doi.org/10.4213/mzm3804
  • https://www.mathnet.ru/eng/mzm/v82/i4/p631
    • This publication is cited in the following 1 articles:
    1. V. A. Yudin, “Best approximation to monomials on a cube”, Sb. Math., 199:8 (2008), 1251–1262  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :384
    References:56
    First page:6
     
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