Improved Validated Bounds for Taylor Coefficients and for Taylor Remainder Series †

@inproceedings{Neher2003ImprovedVB,
  title={Improved Validated Bounds for Taylor Coefficients and for Taylor Remainder Series †},
  author={Markus Neher},
  year={2003}
}
This paper presents methods for the validated computation of bounds for Taylor coefficients and bounds for Taylor remainder series of analytic functions. These bounds are derived from modifications of Cauchy’s estimate. The proposed methods have been implemented in mathematical software called ACETAF. Interval arithmetic is used to restore mathematical rigour to practical calculations. The performance of ACETAF is demonstrated with numerical examples. MSC Subject Classifications: 65G20, 65G30… CONTINUE READING

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