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Journal of Computational and Applied Mathematics
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Journal of Computational and Applied Mathematics
Article . 2003
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Improved validated bounds for Taylor coefficients and for Taylor remainder series

Authors: Neher, Markus;

Improved validated bounds for Taylor coefficients and for Taylor remainder series

Abstract

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Keywords

510, General theory of numerical methods in complex analysis (potential theory, etc.), Algorithms with automatic result verification, info:eu-repo/classification/ddc/510, ddc:510, numerical examples, Bounds for Taylor coefficients of analytic functions, Applied Mathematics, Interval and finite arithmetic, enclosure methods, Software, source code, etc. for problems pertaining to functions of a complex variable, Complex interval arithmetic, Mathematical software, arithmetic, Power series (including lacunary series) in one complex variable, mathematical software, Computational Mathematics, Computation of special functions and constants, construction of tables, complex interval, bounds for Taylor coefficients of analytic functions, Packaged methods for numerical algorithms, Enclosure methods, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
hybrid