Weierstrass逼近定理综述
A survey on the Weierstrass approximation theorem
摘要：
著名的Weierstrass逼近定理通过代数多项式的一致逼近刻画了紧区间上连续函数的集合。该定理是单实变量逼近论的第一个重要结果，对广义逼近论的发展起着关键作用。我们的目的是调查一些新的结果相对于这样的定理，目前的历史的主题，并介绍一些开放的问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
