Nonlinear approximation with general wave packets

Lasse Borup, Morten Nielsen

Research output: Contribution to journalJournal articleResearchpeer-review

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 languageEnglish
JournalAnalysis in Theory and Applications
Volume21
Issue number3
Pages (from-to)201-215
Number of pages15
ISSN1672-4070
Publication statusPublished - 2005

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