Calculus - help with Convex functions?

  • Thread starter Thread starter DarkSun
  • Start date Start date
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DarkSun

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Be f:I->R a continous function in Interval I. For each x,y in I exists:
f((x+y)/2) <= f(x)/2 + f(y)/2
Prove that f is convex.

I suspect Jensen's inequality should be used here, but not sure exacly how it's done.

Thanks.
 
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