作者UniformConv ( )
看板Math
標題[分析] 一題證明
時間Sat Jan 3 00:13:39 2009
Let f:[a,b]→R be a continuous function.Assume that
∫x^n*f(x)dx=0(積分範圍是a到b) for all nonnegative integer n.
Show that f(x)=0 for all x屬於[a,b]
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.134.4.20
推 alfredo92222:use stone-wierestrass theorem 01/03 00:43
→ clouddeep:18126 18130 請參考 01/03 23:42