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Sbornik: Mathematics, 1999, Volume 190, Issue 11, Pages 1571–1605
DOI: https://doi.org/10.1070/sm1999v190n11ABEH000438
(Mi sm438)
 

This article is cited in 40 scientific papers (total in 40 papers)

Effective computation of Chebyshev polynomials for several intervals

A. B. Bogatyrev

Institute of Numerical Mathematics, Russian Academy of Sciences
References:
Abstract: A cell decomposition of the space of polynomials $T_n(E,x)$ of least deviation from zero on a system $E$ of several closed intervals of the real axis is discussed. An effective method for calculating the $T_n$ in each cell making use of automorphic functions is put forward.
Received: 21.12.1998
Bibliographic databases:
UDC: 517.5
MSC: Primary 33-99, 33C25; Secondary 41-04, 30F10, 30F30
Language: English
Original paper language: Russian
Citation: A. B. Bogatyrev, “Effective computation of Chebyshev polynomials for several intervals”, Sb. Math., 190:11 (1999), 1571–1605
Citation in format AMSBIB
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\by A.~B.~Bogatyrev
\paper Effective computation of Chebyshev polynomials for several intervals
\jour Sb. Math.
\yr 1999
\vol 190
\issue 11
\pages 1571--1605
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Linking options:
  • https://www.mathnet.ru/eng/sm438
  • https://doi.org/10.1070/sm1999v190n11ABEH000438
  • https://www.mathnet.ru/eng/sm/v190/i11/p15
  • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:757
    Russian version PDF:390
    English version PDF:80
    References:77
    First page:3
     
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