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Open Access Green as soon as Postprint is submitted to ZB.
Error estimates and reproduction of polynomials for biorthogonal local trigonometric bases.
Appl. Comput. Harmon. Anal. 6, 75-102 (1999)
A general approach for biorthogonal local trigonometric bases in the two-overlapping setting was given by Chui and Shi. In this paper, we give error estimates for the approximation with such basis functions. In particular, it is shown that for a partition of the real axis into small intervals one obtains better approximation order if polynomials are reproduced locally. Furthermore, smooth trigonometric bases are constructed, which reproduce constants resp. linear functions by only one resp. a small number of basis functions for each interval.
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Publication type
Article: Journal article
Document type
Scientific Article
ISSN (print) / ISBN
1063-5203
e-ISSN
1096-603X
Quellenangaben
Volume: 6,
Issue: 1,
Pages: 75-102
Publisher
Academic Press
Publishing Place
San Diego, Calif. [u.a.]
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)