Convergence and error estimates for (m,l,s)-splines |
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Institution: | Departamento de Matemática Aplicada, C.P.S., Universidad de Zaragoza, María de Luna 3, E-50015 Zaragoza, Spain |
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Abstract: | In some recent papers, Bouhamidi and Le Méhauté introduced Lm,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 Lm,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 Dm-splines (i.e. (m,0)-splines). |
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