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• W2169013483 abstract "In this paper, which is the sequel to [16], we study inverse estimates of the Bernstein type for nonlinear approximation with structured redundant dictionaries in a Banach space. The main results are for blockwise incoherent dictionaries in Hilbert spaces, which generalize the notion of joint block-diagonal mutually incoherent bases introduced by Donoho and Huo. The Bernstein inequality obtained for such dictionaries is proved to be sharp, but it has an exponent that does not match that of the corresponding Jackson inequality." @default.
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• W2169013483 date "2006-04-06" @default.
• W2169013483 modified "2023-10-01" @default.
• W2169013483 title "Nonlinear Approximation with Dictionaries. II. Inverse Estimates" @default.
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• W2169013483 doi "https://doi.org/10.1007/s00365-005-0621-x" @default.
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