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Convex Function

  1. Nov 16, 2008 #1
    How do i go about showing that if f(x)=[tex]\left\|[/tex]x[tex]\left\|[/tex] then f(x) is a convex function.


    I'm thinking in the direction of the triangle inequality but don't know how to go about it. Any clues? thanks
     
  2. jcsd
  3. Nov 16, 2008 #2
    it just comes straight from definition of convex function

    [tex]|tx+(1-t)y|\leq |tx| + |(1-t)y|[/tex]
     
  4. Nov 16, 2008 #3
    that is it, Thanks a lot!
     
    Last edited: Nov 16, 2008
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