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Inequality proof help

Can somebody prove that the A.M of \(n^{th}\) powers is greater than the \(n^{th}\) power of A.M for \(n>1\) or, \[\dfrac{\sum_{x=1}^{n}a_x^n}{n}>[(\dfrac{\sum_{x=1}^{n}a_x}{n})^n]\]

Note by Adarsh Kumar
2 years ago

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Check out Power Mean (QAGH) .

Calvin Lin Staff - 1 year, 12 months ago

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Thank you sir!

Adarsh Kumar - 1 year, 12 months ago

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