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Impossibility of approximating analytic functions from equispaced samples

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.

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Publisher:
SIAM Review
Publication date:
2009-10-01
UUID:
uuid:8e8fa82b-d508-4f3c-91cd-515d56ddc560
Local pid:
oai:eprints.maths.ox.ac.uk:859
Deposit date:
2011-05-20

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