Difference between revisions of "Karamata's Inequality"
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==Proof== | ==Proof== | ||
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[[Category:Inequality]] | [[Category:Inequality]] |
Revision as of 15:41, 1 December 2015
Karamata's Inequality states that if majorizes
and
is a convex function, then
![$\sum_{i=1}^{n}f(x_i)\geq \sum_{i=1}^{n}f(y_i)$](http://latex.artofproblemsolving.com/b/d/6/bd6598119060b3bc0c10904f75b0e3e89cb96fa7.png)
Proof
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