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

Charles Fefferman; Bo'az Klartag

doi:10.4171/rmi/569

JournalsrmiVol. 25, No. 1pp. 49–273

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

Charles Fefferman
Princeton University, United States
Bo'az Klartag
Tel-Aviv University, Israel

Download PDF

Abstract

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

A correction to this paper is available.

Cite this article

Charles Fefferman, Bo'az Klartag, Fitting a $C^{m}$ -Smooth Function to Data II. Rev. Mat. Iberoam. 25 (2009), no. 1, pp. 49–273

DOI 10.4171/RMI/569