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Dunkl's theory and Jackson's theorem in the space \(L_2(\mathbb R^d)\) with power weight - MaRDI portal

Dunkl's theory and Jackson's theorem in the space \(L_2(\mathbb R^d)\) with power weight (Q643838)

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scientific article; zbMATH DE number 5966632
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English
Dunkl's theory and Jackson's theorem in the space \(L_2(\mathbb R^d)\) with power weight
scientific article; zbMATH DE number 5966632

    Statements

    Dunkl's theory and Jackson's theorem in the space \(L_2(\mathbb R^d)\) with power weight (English)
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    2 November 2011
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    A sharp Jackson inequality is proved for a weight defined by a positive subsystem of a finite root system and by a function invariant under the reflection group generated by \(\mathbb R\).
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    reflection group
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    Dunkl transform
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    best approximation
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    modulus of continuity
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    Jackson inequality
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