Abstract
We study nonlinear approximation in the Triebel-Lizorkin spaces with dictionaries formed by dilating and translating one single function g. A general Jackson inequality is derived for best m-term approximation with such dictionaries. In some special cases where g has a special structure, a complete characterization of the approximation spaces is derived.
Original language | English |
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Journal | Analysis in Theory and Applications |
Volume | 21 |
Issue number | 3 |
Pages (from-to) | 201-215 |
Number of pages | 15 |
ISSN | 1672-4070 |
Publication status | Published - 2005 |