A survey on the Weierstrass approximation theorem
经典分析与常微分方程
2008-05-07 v2 泛函分析
摘要
The celebrated and famous Weierstrass approximation theorem characterizes the set of continuous functions on a compact interval via uniform approximation by algebraic polynomials. This theorem is the first significant result in Approximation Theory of one real variable and plays a key role in the development of General Approximation Theory. Our aim is to investigate some new results relative to such theorem, to present a history of the subject, and to introduce some open problems.
引用
@article{arxiv.math/0611038,
title = {A survey on the Weierstrass approximation theorem},
author = {Dilcia Perez and Yamilet Quintana},
journal= {arXiv preprint arXiv:math/0611038},
year = {2008}
}
备注
16 pages