Title: Impossibility of fast stable approximation of analytic functions from equispaced samples
Authors: Platte, Rodrigo
Trefethen, Lloyd ×
Kuijlaars, Arno #
Issue Date: 2011
Publisher: Society for Industrial and Applied Mathematics
Series Title: SIAM Review vol:53 issue:2 pages: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.
ISSN: 0036-1445
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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