Prove that , where

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- Jun 28th 2011, 05:03 AMAlso sprach ZarathustraInequality proof.
Prove that , where

- Jun 28th 2011, 09:15 AMgirdavRe: Inequality proof.
We fix . Let . We have hence is decreasing on and increasing on . We get that gets its minimum at .

Since

the result is shown. - Jun 28th 2011, 09:59 PMAlso sprach ZarathustraRe: Inequality proof.