[分析] 實變
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].
請問這兩題該怎麼做？
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02/23 23:05, , 1F
02/23 23:05, 1F