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Certain manifolds and approximation on them by polynomials in the metric \(L_ p\) - MaRDI portal

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Certain manifolds and approximation on them by polynomials in the metric \(L_ p\) (Q1377936)

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scientific article; zbMATH DE number 1113082
Language Label Description Also known as
English
Certain manifolds and approximation on them by polynomials in the metric \(L_ p\)
scientific article; zbMATH DE number 1113082

    Statements

    title
    Certain manifolds and approximation on them by polynomials in the metric \(L_ p\) (English)
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    author
    S. M. Nikol'skii
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    publication date
    2 June 1998
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    review text
    The author presents interesting examples of self-intersecting \(m\)-dimensional manifolds \(\Gamma\) for which the differential element of \(\Gamma\) vanishes for some point, but the so-called trace trigonometric polynomial \(T_{Ns}(Q)\) satisfies the known Bernstein-type inequality in \(L_p\)-metric.
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    zbMATH Keywords
    approximation
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    trace trigonometric polynomial
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    Bernstein-type inequality
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    Identifiers

    zbMATH DE Number
    1113082
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