FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   PreferencesPreferences   Log in to check your private messagesLog in to check your private messages   Log inLog in 
Forum index » Science and Technology » Math » Undergraduate
uniform convergence
Post new topic   Reply to topic Page 1 of 1 [5 Posts] View previous topic :: View next topic
Author Message
mike lowry
science forum beginner


Joined: 20 May 2006
Posts: 7

PostPosted: Sat May 20, 2006 5:37 am    Post subject: uniform convergence Reply with quote

Prove that if the series from n=1 to inf gn converges uniformly, then (gn) converges uniformly to zero.
Back to top
David C. Ullrich
science forum Guru


Joined: 28 Apr 2005
Posts: 2250

PostPosted: Sat May 20, 2006 10:46 am    Post subject: Re: uniform convergence Reply with quote

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.

Hint: Adapt the proof that if the sum of a series of constants
converges then the terms tend to 0.


************************

David C. Ullrich
Back to top
mike lowry
science forum beginner


Joined: 20 May 2006
Posts: 7

PostPosted: Sun May 21, 2006 11:59 pm    Post subject: Re: uniform convergence Reply with quote

what is the name of this theorem please?

thanks
Back to top
Virgil
science forum Guru


Joined: 24 Mar 2005
Posts: 5536

PostPosted: Mon May 22, 2006 12:26 am    Post subject: Re: uniform convergence Reply with quote

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

What theorem?
Back to top
mike lowry
science forum beginner


Joined: 20 May 2006
Posts: 7

PostPosted: Mon May 22, 2006 3:22 am    Post subject: Re: uniform convergence Reply with quote

if the sum of a series of constants
converges then the terms tend to 0.
Back to top
Google

Back to top
Display posts from previous:   
Post new topic   Reply to topic Page 1 of 1 [5 Posts] View previous topic :: View next topic
The time now is Thu Jan 08, 2009 11:58 pm | All times are GMT
Forum index » Science and Technology » Math » Undergraduate
Jump to:  

Similar Topics
Topic Author Forum Replies Last Post
No new posts Uniform point picking on a hexagon, e... Olw Math 3 Wed Jul 19, 2006 9:21 pm
No new posts uni. convergence bill Math 3 Wed Jul 19, 2006 10:59 am
No new posts convergence of probability measures pkg Math 0 Sat Jul 15, 2006 7:15 pm
No new posts analysis with uniform convergence.. mina_world Math 4 Fri Jul 14, 2006 8:26 am
No new posts Convergence of series David Sevilla Math 2 Thu Jul 13, 2006 8:34 pm

The eBay Song | Debt Consolidation | Gabriel garcia marquez | Bournemouth Hen Party | Debt Consolidation
Copyright © 2004-2005 DeniX Solutions SRL
Other DeniX Solutions sites: Electronics forum |  Medicine forum |  Unix/Linux blog |  Unix/Linux documentation |  Unix/Linux forums


Powered by phpBB © 2001, 2005 phpBB Group
[ Time: 0.1577s ][ Queries: 16 (0.0663s) ][ GZIP on - Debug on ]