Mathematics – Numerical Analysis
Scientific paper
2007-09-30
Mathematics
Numerical Analysis
3 pages
Scientific paper
The Euclidean algorithm makes possible a simple but powerful generalization of Taylor's theorem. Instead of expanding a function in a series around a single point, one spreads out the spectrum to include any number of points with given multiplicities. Taken together with a simple expression for the remainder, this theorem becomes a powerful tool for approximation and interpolation in numerical analysis. We also have a corresponding theorem for rational approximation.
Sobczyk Garret
No associations
LandOfFree
Generalized Taylor's Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized Taylor's Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Taylor's Theorem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-721831