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Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\) - MaRDI portal

Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\) (Q1969975)

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scientific article; zbMATH DE number 1417556
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Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\)
scientific article; zbMATH DE number 1417556

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    Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\) (English)
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    19 March 2000
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    The authors obtain some weak asymptotic results for the average Kolmogorov \(\sigma\)-width and the average linear \(\sigma\)-width of isotropic and anisotropic Besov classes in \(L_p(\mathbb{R}^d)\). For isotropic Besov classes they also investigate the asymptotic behaviour of the optimal recovery.
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    average
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    anisotropic Besov classes
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    isotropic Besov classes
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