作者bineapple (パイナップル)
看板Math
标题[分析] uniform convergence(Apostol)
时间Wed Jan 19 23:34:45 2011
Let {a_n} be a decreasing sequence of positive terms. Prove that the
series Σa_nsin(n)x converges uniformly on R if, and only if, na_n→0
as n→∞.
有人能提示一下吗?
Dirichlet和Abel两种测试好像都派不太上用场...
--
Stirling's formula:
1 log(2π) ∞ B_1(t)
logΓ(s)=(s-─)logs-s+────-∫────dt,
2 2 0 s+t
where B_1 is the first Bernoulli function.
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 223.139.118.209
2F：推 yueayase :你竟然找到解答!! 01/20 00:03
3F：→ bineapple :这题居然这麽暴力解....= =" 总之 感谢~~ 01/20 14:21
4F：推 bolyai :一楼就是作者呀 01/21 01:43
5F：→ bineapple :一楼是作者!? 看ip是交大 是我哪位学长或老师吗?? 01/21 09:37