Français
1. Taylor and Padé
Let's start with the case where the function f to be approximated is analytic in a disk centered in the middle of the interval on which the approximation is sought, and where the derivatives of f, and therefore its Taylor coefficients, are known at the center (we'll assume without loss of generality that the latter lies at 0):
(we then have a Maclaurin series). We can then evaluate a finite version of this series, a Taylor polynomial...
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Taylor and Padé
A reminder of polynomial interpolation
Bibliography
Software
Chebfun Version 4.2 by TREFETHEN (L.N.) and the Chebfun Development Team 2011 :
The Ultimate Scientific and Technical Reference
