## Revista Matemática Iberoamericana

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

#### 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 $E$.

#### Article information

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

Dates
First available in Project Euclid: 12 March 2009

https://projecteuclid.org/euclid.rmi/1236864106

Mathematical Reviews number (MathSciNet)
MR2514338

Zentralblatt MATH identifier
1170.65006

#### Citation

Fefferman, Charles; Klartag, Bo'az. Fitting a $C^m$-Smooth Function to Data II. Rev. Mat. Iberoamericana 25 (2009), no. 1, 49--273. https://projecteuclid.org/euclid.rmi/1236864106

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