Pointwise error bounds for orthogonal cardinal spline approximation

For orthogonal cardinal spline approximation, closed form expressions of the reproducing kernel and the Peano kernels in terms of exponential splines are proved. Concrete and sharp pointwise error bounds are deduced for low degree splines.

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Bibliographic Details
Published in:Applied mathematics and computation 2002-05, Vol.128 (2), p.237-260
Main Author: Ehrich, S.
Format: Article
Language:English
Subjects:
Cardinal splines
Orthogonal approximation
Peano kernels
Pointwise error bounds
Spline wavelet expansion
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Description
Summary:For orthogonal cardinal spline approximation, closed form expressions of the reproducing kernel and the Peano kernels in terms of exponential splines are proved. Concrete and sharp pointwise error bounds are deduced for low degree splines.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(01)00074-1