Convex Function

  • Thread starter ahamdiheme
  • Start date
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
 
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it just comes straight from definition of convex function

[tex]|tx+(1-t)y|\leq |tx| + |(1-t)y|[/tex]
 
that is it, Thanks a lot!
 
Last edited:

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