作者znmkhxrw (QQ)
看板Math
标题Re: [分析] 均匀收敛
时间Mon Jan 17 02:30:20 2011
我觉得你可以这样写
Since f(x)=│x│ is cont. on [-1,1]
By WAT, there exists Pn(x) uniformly conv. to f , where Pn(x) are polynomials
and we find that Pn(x) are differentiable on [-1,1]
and Pn→f uniformly
But the limit of Pn(=f=│x│) is "not" differentiable on [-1,1]
(at x=0 , not diff.)
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 111.243.146.76
1F：推 wyob :了解，感谢 01/17 09:25