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Karamata's Inequality

Revision as of 15:41, 1 December 2015 by Slester (talk | contribs)

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

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