Convergence and error estimates for ( m, l, s)-splines

In some recent papers, Bouhamidi and Le Méhauté introduced L m, l, s -splines as a natural extension of J. Duchon's ( m, s)-splines. In the present work, some results on convergence and error estimates for smoothing and interpolating L m, l, s -splines (called here ( m, l, s)-splines) are given...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 1997-12, Vol.87 (2), p.373-384
Main Author: LOPEZ DE SILANES, M. C
Format: Article
Language:English
Subjects:
Approximations and expansions
Convergence
error estimates
Exact sciences and technology
Interpolating ( m, l, s)-splines
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Numerical methods in probability and statistics
Sciences and techniques of general use
Smoothing ( m, l, s)-splines
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Summary:In some recent papers, Bouhamidi and Le Méhauté introduced L m, l, s -splines as a natural extension of J. Duchon's ( m, s)-splines. In the present work, some results on convergence and error estimates for smoothing and interpolating L m, l, s -splines (called here ( m, l, s)-splines) are given. These results extend those presented in several papers by Duchon, Arcangéli and López de Silances for ( m, s)-splines and also for D m -splines (i.e. ( m,0)-splines).
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(97)00200-8