S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
It is currently Sat, 25 Oct 2014 19:12:52 UTC

All times are UTC [ DST ]




Post new topic Reply to topic  [ 2 posts ] 
Author Message
PostPosted: Sun, 6 Nov 2005 20:19:43 UTC 
Offline
Senior Member
User avatar

Joined: Fri, 22 Oct 2004 22:59:11 UTC
Posts: 74
I'm trying to show that the product of two absolutely continuous functions is absolutely continuous.

This is what I've tried: Since if a function is absolutely cont. means that it is a function of bounded variation on some interval [a,b].
so, I've been trying to show that the product of two functions of bounded variation is also of bounded variation... Is this the right idea?

Any help is greatly appreciated


Top
 Profile  
 
 Post subject:
PostPosted: Mon, 7 Nov 2005 05:11:30 UTC 
Offline
Senior Member
User avatar

Joined: Fri, 22 Oct 2004 22:59:11 UTC
Posts: 74
got it!
pretty simple actually. I was on the right track, just consider the function of bounded variation. Then, use the standard continuity trick of adding a term, triangle it, then just take the sum over the index of the partition.


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 2 posts ] 

All times are UTC [ DST ]


Who is online

Users browsing this forum: No registered users


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum

Search for:
Jump to:  
Contact Us | S.O.S. Mathematics Homepage
Privacy Statement | Search the "old" CyberBoard

users online during the last hour
Powered by phpBB © 2001, 2005-2011 phpBB Group.
Copyright © 1999-2013 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA