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Improved Bounds for Taylor Coefficients of Analytic Functions

✍ Scribed by M. Neher

Publisher: John Wiley and Sons
Year: 2002
Weight: 101 KB
Volume: 1
Category: Article
ISSN: 1617-7061
DOI: 10.1002/1617-7061(200203)1:1<450::aid-pamm450>3.0.co;2-j

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✦ Synopsis

Improved Bounds for Taylor Coefficients of Analytic Functions

The practical computation of verified bounds for Taylor coefficients of analytic functions is considered. Using interval arithmetic, the bounds are constructed from Cauchy's estimate and from some of its modifications. By employing the mean value form for intermediate function evaluations, the accuracy of the bounds is improved by several powers of ten, compared to earlier results.

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