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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
ISSN (print) / ISBN
1063-5203
e-ISSN
1096-603X
Zeitschrift
Applied and Computational Harmonic Analysis
Quellenangaben
Band: 6,
Heft: 1,
Seiten: 75-102
Verlag
Academic Press
Verlagsort
San Diego, Calif. [u.a.]
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)