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
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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