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Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren. (A demonstration of a Jackson type inequality using special commutators) - MaRDI portal

Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren. (A demonstration of a Jackson type inequality using special commutators) (Q1071203)

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scientific article; zbMATH DE number 3937749
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Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren. (A demonstration of a Jackson type inequality using special commutators)
scientific article; zbMATH DE number 3937749

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    Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren. (A demonstration of a Jackson type inequality using special commutators) (English)
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    1986
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    Summary: We study the commutators of some differential operators and operators connected with the error of approximation for proving an inequality of Jackson-type for trigonometrical polynomials in a scale of (anisotropic) Sobolev spaces (with weight). The results are applicable to construct systems of functions with high degree approximation satisfying given boundary conditions.
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    commutators
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    error of approximation
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    inequality of Jackson-type
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    Sobolev spaces
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