Fitting a $C^m$-Smooth Function to Data II

Fitting a $C^m$-Smooth Function to Data II

Charles Fefferman and Bo'az Klartag

Source: Rev. Mat. Iberoamericana Volume 25, Number 1 (2009), 49-273.

Abstract

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 $E$.

Primary Subjects: 65D05, 65D17

Keywords: Algorithm; interpolation; approximation; $C^m$-smoothness

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmi/1236864106
Zentralblatt MATH identifier: 05554641
Mathematical Reviews number (MathSciNet): MR2514338

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