Impossibility of approximating analytic functions from equispaced samples
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.
| Main Authors: | , , |
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| Format: | Report |
| Published: |
SIAM Review
2009
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