The Mathematical Institute, University of Oxford, Eprints Archive

Impossibility of approximating analytic functions from equispaced samples

Platte, Rodrigo B. and Trefethen, Lloyd N. and Kuijlaars, Arno B. (2009) Impossibility of approximating analytic functions from equispaced samples. Technical Report. SIAM Review. (Submitted)

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Abstract

It is shown that no stable procedure for approximating functions from equally spaced samples can converge geometrically for analytic functions. The proof combines a Bernstein inequality of 1912 with an estimate due to Coppersmith and Rivlin in 1992.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Approximations and expansions
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:859
Deposited By:Lotti Ekert
Deposited On:11 Dec 2009 07:38
Last Modified:15 Dec 2009 17:45

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