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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2009 © Departamento de Matemáticas, Universidad Autónoma de Madrid
Revista Matemática Iberoamericana
