On polynomials with the least deviation from zero in \(L[-1,1]\) metrics. II (Q2729354)

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scientific article; zbMATH DE number 1622450
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On polynomials with the least deviation from zero in \(L[-1,1]\) metrics. II
scientific article; zbMATH DE number 1622450

    Statements

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    22 July 2001
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    polynomials with the least deviation from zero
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    approximation by polynomials
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    \(L_1\)-metric
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    classification theorem
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    On polynomials with the least deviation from zero in \(L[-1,1]\) metrics. II (English)
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    The article is a continuation of the author's study of properties of the so-called extremal polynomials with the least deviation from zero in \(L_1\)-metrics, see \textit{V.~E. Gheit} in [Sib. Zh. Vychisl. Mat. 2, No. 3, 223--238 (1999; Zbl 0933.41005)]. The aim of the second part of the article is to give a formal-algebraic classification of the extremal polynomials with the least deviation from zero in \(L[-1,1]\) metrics with four leading coefficients prescribed.
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