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Approximation Orders of Principal Shift-Invariant Spaces Generated by Box Splines

โœ Scribed by George C Kyriazis

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
745 KB
Volume
85
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

On the Approximation Order of Principal
On the Approximation Order of Principal Shift-Invariant Subspaces ofLp(Rd)
โœ Michael J. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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;