Good Approximation by Splines with Variable Knots

de Boor, Carl

doi:10.1007/978-3-0348-5979-0_3

Carl de Boor

Part of the book series: ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique ((ISNM,volume 21))

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Abstract

Consider approximation of a given function f, on [0,1] say, by elements of S ^k_π , i.e., by polynomial splines of order k (or, degree < k) on some partition

$$({t_i})_0^{N + 1}of[0,1]\;0 = {t_0} < {t_1} \leqslant {t_2} \leqslant ... \leqslant {t_N} < {t_{n + 1}} = 1$$

.

This work was supported in part by NSF grant GP-07163

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Authors

Carl de Boor
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A. Meir A. Sharma

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de Boor, C. (1973). Good Approximation by Splines with Variable Knots. In: Meir, A., Sharma, A. (eds) Spline Functions and Approximation Theory. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 21. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5979-0_3

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DOI: https://doi.org/10.1007/978-3-0348-5979-0_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5980-6
Online ISBN: 978-3-0348-5979-0
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