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Nonlinear approximation schemes associated with nonseparable wavelet bi-frames - MaRDI portal

Nonlinear approximation schemes associated with nonseparable wavelet bi-frames (Q1040871)

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scientific article; zbMATH DE number 5639046
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Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
scientific article; zbMATH DE number 5639046

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    Nonlinear approximation schemes associated with nonseparable wavelet bi-frames (English)
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    26 November 2009
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    The author studies nonlinear approximation properties of multivariate wavelet bi-frames with isotropic dilation matrices. Besov spaces are shown to be convenient function spaces to consider the best \(N\)-term approximation, and the best \(N\)-term approximation rate can be obtained by thresholding the wavelet bi-frame expansion.
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    wavelet bi-frame
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    Besov spaces
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    nonlinear approximation
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    Jackson inequality
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    Bernstein inequality
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    isotropic scaling
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