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arXiv · 1205.6370

Approximation systems

Victor A. Pessers·Tom H. Koornwinder
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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.

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Victor A. Pessers, Tom H. Koornwinder. 2012-05-29. Approximation systems. https://arxiv.org/abs/1205.6370

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