Difference between revisions of "Karamata's Inequality"

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==Proof==
 
==Proof==
{{incomplete|proof}}
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{{stub}}
  
 
==See also==
 
==See also==
 
[[Category:Theorems]]
 
[[Category:Theorems]]
 
[[Category:Inequality]]
 
[[Category:Inequality]]

Revision as of 14:41, 1 December 2015

Karamata's Inequality states that if $(x_i)$ majorizes $(y_i)$ and $f$ is a convex function, then

$\sum_{i=1}^{n}f(x_i)\geq \sum_{i=1}^{n}f(y_i)$

Proof

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See also