[分析] 一題有關uniform convergence(from Apostol)

看板Math作者bineapple (パイナップル)時間15年前 (2011/01/18 23:13)推噓4(4推 0噓 3→)

留言7則, 4人參與討論串1/1

∞ Prove that Σ(x^(2n+1)/(2n+1)-x^(n+1)/(2n+2)) converges pointwise n=0 but not uniformly on [0,1]. 我會證pointwise的部份可是uniformly的部份就想不太到了... 有高手能給些提示嗎?? 謝謝>"< -- Fermat's Last Theorem: There are no positive integers a, b, c satisfy the identiy a^n+b^n=c^n, where n is an integer greater than 2. Proof: The proof is trivial so we leave it to the reader as an exercise. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.70.136.114

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math1209

01/18 23:16, , 1^F

01/18 23:16, 1^F

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hcsoso

01/18 23:16, , 2^F

01/18 23:16, 2^F

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bineapple

01/18 23:18, , 3^F

01/18 23:18, 3^F