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mike lowry science forum beginner
Joined: 20 May 2006
Posts: 7
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Posted: Sat May 20, 2006 5:37 am Post subject:
uniform convergence
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Prove that if the series from n=1 to inf gn converges uniformly, then (gn) converges uniformly to zero. |
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David C. Ullrich science forum Guru
Joined: 28 Apr 2005
Posts: 2250
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Posted: Sat May 20, 2006 10:46 am Post subject:
Re: uniform convergence
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On Sat, 20 May 2006 01:37:13 EDT, mike lowry <mmehdiza@gmu.edu> wrote:
| Quote: | Prove that if the series from n=1 to inf gn converges uniformly, then (gn) converges uniformly to zero.
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Hint: Adapt the proof that if the sum of a series of constants
converges then the terms tend to 0.
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David C. Ullrich |
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mike lowry science forum beginner
Joined: 20 May 2006
Posts: 7
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Posted: Sun May 21, 2006 11:59 pm Post subject:
Re: uniform convergence
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what is the name of this theorem please?
thanks |
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Virgil science forum Guru
Joined: 24 Mar 2005
Posts: 5536
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Posted: Mon May 22, 2006 12:26 am Post subject:
Re: uniform convergence
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In article
<1284859.1148255982914.JavaMail.jakarta@nitrogen.mathforum.org>,
mike lowry <mmehdiza@gmu.edu> wrote:
| Quote: | what is the name of this theorem please?
thanks
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What theorem? |
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mike lowry science forum beginner
Joined: 20 May 2006
Posts: 7
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Posted: Mon May 22, 2006 3:22 am Post subject:
Re: uniform convergence
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if the sum of a series of constants
converges then the terms tend to 0. |
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