✦ LIBER ✦

Construction Techniques for Highly Accurate Quasi-Interpolation Operators

✍ Scribed by Robert Schaback; Zongmin Wu

Book ID: 102578587
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 248 KB
Volume: 91
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.3101

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✦ Synopsis

with approximation order l&1, where . h (x) is a linear combination of translates (x& jh) of a function in C l (R). Thus the order of convergence of such operators can be pushed up to a limit that only depends on the smoothness of the function . This approach can be generalized to the multivariate setting by using discrete convolutions with tensor products of odd-degree B-splines.

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