摘要
本文讨论了带权函数的L^p(1≤p≤∞)最佳逼近元的存在性、唯一性及性质。讨论了连续函数的带权函数的L^p、L^q最佳逼近元及其最佳一致逼近元的关系。
In this paper we discussed the existence unicity and other properties of the best Lp approximations with a weighted function. Here 1≤p≤∞. Also we d iscussed the relationship between the best Lp and Lp approximations with a weighted function of a continuous function, and that with its best uniform approximations.
关键词
权函数
L^p最佳逼近
最佳一致逼近
The weighted function, The best Lp approximation, The best uniform approximation.
