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Approximation orders of shift-invariant subspaces of

✍ Scribed by Olga Holtz; Amos Ron


Book ID
108158970
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
558 KB
Volume
132
Category
Article
ISSN
0021-9045

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On the Approximation Order of Principal
✍ Michael J. Johnson πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 482 KB

For 1 p , sufficient conditions on the generators [, h ] h>0 are given which ensure that the h-dilates of the shift-invariant space generated by , h provide L p -approximation of order k>0. Examples where , h is an exponential box spline or certain dilates of the Gaussian e &| } | 2 are considered;

Approximation Orders of Principal Shift-
✍ George C Kyriazis πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 745 KB

We investigate the approximation orders of principal shift-invariant subspaces of L p (R d ), 1< p< , generated by exponential box splines M associated to rational matrices. Moreover, under some regularity assumptions on M the exact approximation orders are determined.