请输入您要查询的字词:

 

单词 WeierstrassApproximationTheorem
释义

Weierstrass approximation theorem


If f is a continuousPlanetmathPlanetmath real-valued function on a interval [a,b]then for all ε>0 there exists a polynomialPlanetmathPlanetmath Pwhich satisfies |f(x)-P(x)|<εx[a,b]This theorem also holds for compact subsets of n.The Stone-Weierstrass theorem is a generalizationPlanetmathPlanetmath to even more general situations.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/5 3:35:17