Results 1 to 2 of 2

Math Help - Convex Set

  1. #1
    Newbie
    Joined
    Feb 2010
    From
    Bangladesh
    Posts
    10

    Convex Set

    I need the proof :

    An Extreme Point of a Convex set is a boundary point, but the converse is not true.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Focus's Avatar
    Joined
    Aug 2009
    Posts
    228
    Quote Originally Posted by manik View Post
    I need the proof :

    An Extreme Point of a Convex set is a boundary point, but the converse is not true.
    Could you be a little more specific? Is it a norm space?

    As for the counterexample, take a square in the plane.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. The union of two convex sets is not convex
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: January 30th 2010, 04:23 PM
  2. Proving that max{0,f(x)} is convex if f is convex
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: November 5th 2009, 07:16 AM
  3. Proving that f^2 is convex if f is convex and f>=0
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: November 3rd 2009, 10:51 AM
  4. Proving that f^2 is convex if f is convex and f>=0
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: November 1st 2009, 04:06 PM
  5. Convex
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 25th 2008, 12:57 AM

Search Tags


/mathhelpforum @mathhelpforum