作者bineapple (パイナップル)
看板Math
標題[分析] uniform convergence(Apostol)
時間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→∞.
有人能提示一下嗎?
Dirichlet和Abel兩種測試好像都派不太上用場...
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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.
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推 yueayase :你竟然找到解答!! 01/20 00:03
→ bineapple :這題居然這麼暴力解....= =" 總之 感謝~~ 01/20 14:21
推 bolyai :一樓就是作者呀 01/21 01:43
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