Non-linear Approximation and Interpolation Spaces

Author: Kyriazis G.

Source: Journal of Approximation Theory, Volume 113, Number 1, November 2001 , pp. 110-126(17)

Publisher: Academic Press

Abstract:

We study n-term wavelet-type approximations in Besov and Triebel–Lizorkin spaces. In particular, we characterize spaces of functions which have prescribed degree of n-term approximation in terms of interpolation spaces. These results are applied to identify interpolation spaces between Triebel–Lizorkin and Besov spaces. Copyright 2001 Elsevier Science.

Keywords: non-linear approximation; interpolation of operators; wavelets

Language: English

Document Type: Research article

Affiliations: Department of Mathematics and Statistics, University of Cyprus, Nicosia, Cyprus

Publication date: 2001-11-01

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• By this author: Kyriazis G.

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