Open Access
March, 2009 Fitting a $C^m$-Smooth Function to Data II
Charles Fefferman , Bo'az Klartag
Rev. Mat. Iberoamericana 25(1): 49-273 (March, 2009).


We exhibit efficient algorithms to perform the following task: Given a function $f$ defined on a finite subset $E \subset \mathbb R^n$, compute a $C^m$ function $F$ on $\mathbb R^n$, with a controlled $C^m$ norm, that approximates $f$ on the subset $E$.


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Charles Fefferman . Bo'az Klartag . "Fitting a $C^m$-Smooth Function to Data II." Rev. Mat. Iberoamericana 25 (1) 49 - 273, March, 2009.


Published: March, 2009
First available in Project Euclid: 12 March 2009

zbMATH: 1170.65006
MathSciNet: MR2514338

Primary: 65D05 , 65D17

Keywords: $C^m$-smoothness , algorithm , approximation , interpolation

Rights: Copyright © 2009 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.25 • No. 1 • March, 2009
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