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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Quasi-interpolatory splines based on Schoenberg points


Author: V. Demichelis
Journal: Math. Comp. 65 (1996), 1235-1247
MSC (1991): Primary 65D30, 65D05
MathSciNet review: 1344610
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Abstract | References | Similar Articles | Additional Information

Abstract: By using the Schoenberg points as quasi-interpolatory points, we achieve both generality and economy in contrast to previous sets, which achieve either generality or economy, but not both. The price we pay is a more complicated theory and weaker error bounds, although the order of convergence is unchanged. Applications to numerical integration are given and numerical examples show that the accuracy achieved, using the Schoenberg points, is comparable to that using other sets.


References [Enhancements On Off] (What's this?)

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Additional Information

V. Demichelis
Affiliation: Department of Mathematics, University of Torino, Via Carlo Alberto 10, I-10123, Torino, Italy
Email: demichelis@dm.unito.it

DOI: http://dx.doi.org/10.1090/S0025-5718-96-00728-4
PII: S 0025-5718(96)00728-4
Received by editor(s): June 10, 1994
Additional Notes: Work supported by “Ministero dell’Università e della Ricerca Scientifica e Tecnologica" and “Consiglio Nazionale delle Ricerche" of Italy.
Article copyright: © Copyright 1996 American Mathematical Society