推 beethoven88:可以分兩部分來估計. 07/29 13:58
→ beethoven88:1.從0->bn的積分用converge uniformly已知條件來估 07/29 14:00
→ beethoven88:2.從bn->1的積分可以由b_n ↑ 1 再加上可積在compact 07/29 14:02
→ beethoven88:set 上 有界來估就ok~ 07/29 14:03
Let f_n be integrable on [0,1] and f_n → f uniformly on [0,1].
show that if b_n ↑ 1 as n→∞.then
b_n 1
lim ∫ f_n(x)dx = ∫ f(x)dx
n→∞ 0 0
感謝 ^^~
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 118.171.75.89