Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation

Details Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation

2011-08-12

arxiv.org/abs/1108.2610v1

Mathematics

Classical Analysis and ODEs

23 pages

Scientific paper

Restricted non-linear approximation is a type of N-term approximation where a measure $\nu$ on the index set (rather than the counting measure) is used to control the number of terms in the approximation. We show that embeddings for restricted non-linear approximation spaces in terms of weighted Lorentz sequence spaces are equivalent to Jackson and Bernstein type inequalities, and also to the upper and lower Temlyakov property. As applications we obtain results for wavelet bases in Triebel-Lizorkin spaces by showing the Temlyakow property in this setting. Moreover, new interpolation results for Triebel-Lizorkin and Besov spaces are obtained.

Affiliated with

Also associated with

No associations

Rating

Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16274