Author
Platte, R
Trefethen, L
Kuijlaars, A
Journal title
SIAM Review
DOI
10.1137/090774707
Issue
2
Volume
53
Last updated
2022-07-30T09:23:21.283+01:00
Page
308-318
Abstract
It is shown that no stable procedure for approximating functions from equally spaced samples can converge exponentially for analytic functions. To avoid instability, one must settle for root-exponential convergence. The proof combines a Bernstein inequality of 1912 with an estimate due to Coppersmith and Rivlin in 1992. © 2011 Society for Industrial and Applied Mathematics.
Symplectic ID
188461
Favourite
On
Publication type
Journal Article
Publication date
19 Sep 2011
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