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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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APA Style

Platte, R., Trefethen, L., & Kuijlaars, A. (2009). Impossibility of approximating analytic functions from equispaced samples. SIAM Review.

MLA Style

Platte, R., et al. Impossibility of Approximating Analytic Functions from Equispaced Samples. SIAM Review, 2009.

Chicago Style

Platte, R, L Trefethen, and A Kuijlaars. 2009. “Impossibility of Approximating Analytic Functions from Equispaced Samples.” SIAM Review.
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Files:: NA-09-04.pdf

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Authors

+ Platte, R More by this author

Role:: Author

+ Trefethen, L More by this author

Role:: Author

+ Kuijlaars, A More by this author

Role:: Author

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

Terms of use

Copyright date:: 2009

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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