Fitting a $C^m$-Smooth Function to Data II
Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, p. 49-273 / Harvested from Project Euclid
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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 $E$.
Publié le : 2009-03-15
Classification:  Algorithm,  interpolation,  approximation,  $C^m$-smoothness,  65D05,  65D17 
@article{1236864106,
     author = {Fefferman
,  
Charles and Klartag
,  
Bo'az},
     title = {Fitting a $C^m$-Smooth Function to Data II},
     journal = {Rev. Mat. Iberoamericana},
     volume = {25},
     number = {1},
     year = {2009},
     pages = { 49-273},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1236864106}
}

Fefferman
,  
Charles; Klartag
,  
Bo'az. Fitting a $C^m$-Smooth Function to Data II. Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, pp.  49-273. http://gdmltest.u-ga.fr/item/1236864106/