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Karamata's Inequality

Revision as of 13:41, 12 September 2008 by 1=2 (talk | contribs) (New page: '''Karamata's Inequality''' states that if <math>(x_i)</math> majores <math>(y_i)</math> and <math>f</math> is a convex function, then <center><math>\sum_{i=1}^{n}f(x...)
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Karamata's Inequality states that if $(x_i)$ majores $(y_i)$ and $f$ is a convex function, then

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

Proof

Template:Incomplete

See also

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