推 math1209:1. Weierstrass approximation theorem 03/05 23:55
→ math1209:2. Lebsgue Differentiation theorem 03/05 23:55
1. Let f: [0,1] → R be a continuous function.
1 n
If ∫ x f(x)dx = 0 , n=0,1,2,......,
0
prove that f(x) = 0, for each x ε [0,1]
2. Let f: [-1,1] → R be Lebesque integrable
1 n
such that ∫ x f(x)dx = 0, n=0,1,2,......
-1
Show that f = 0 a.e. on [-1,1]
請問這兩題要怎麼做呀
想好久了，都沒有頭緒，請教教我該怎麼下手 謝謝
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