Approximation systems
Classical Analysis and ODEs
2017-10-20 v3 Complex Variables
Abstract
We introduce the notion of an approximation system as a generalization of Taylor approximation, and we give some first examples. Next we develop the general theory, including error bounds and a sufficient criterion for convergence. More examples follow. We conclude the article with a description of numerical implementation and directions for future research. Prerequisites are mostly elementary complex analysis.
Cite
@article{arxiv.1205.6370,
title = {Approximation systems},
author = {Victor A. Pessers and Tom H. Koornwinder},
journal= {arXiv preprint arXiv:1205.6370},
year = {2017}
}
Comments
27 pages; in v3 minor changes