Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Convex subset
Replies: 21   Last Post: Dec 31, 2013 10:39 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
William Elliot

Posts: 1,553
Registered: 1/8/12
Convex subset
Posted: Dec 5, 2013 12:16 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

A subset R, is convex when for all x,y in A, t in R,
if x < t < y, then t in A.

Assume f:[a,b] -> R is continuous.
Define g:[a,b] -> R by g(x) = sup f([a,x]).

Is g([a,b]) a convex subset of R.
How would that be proved?



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.