作者smartlwj (要准备资格考)
看板Math
标题[分析] 实变
时间Wed Feb 23 22:18:41 2011
1. Let f,g be real-valued continuous functions defined on R
and g(x+1)=g(x). Show that
1 1 1
lim ∫ f(x)g(nx)=(∫ f(x)dx)(∫ g(x)dx)
n→∞ 0 0 0
2. If f(x) is absolutely continuous in [a,b]. Prove that
|f(x)|^p , p>0 is absolutely continuous in [a,b].
请问这两题该怎麽做？
谢谢
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1F：推 yusd24 :1. 黎曼和 2.你可以想一下 x^p 的图形.. 02/23 23:05