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#1 2008-03-07 21:44:23

tony123
Member
Registered: 2007-08-03
Posts: 229

inequality

if

  and

prove

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#2 2008-03-08 04:34:37

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

Re: inequality

Fix your math codes.

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#3 2008-03-09 21:58:00

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: inequality

Yay, Latex is fixed!

tony123 wrote:

If

  and

prove

Apparently there is a stronger inequality:

                               

See here: http://www.artofproblemsolving.com/Foru … p?t=193004

It is claimed that there is proof of the stronger inequality using the AM–GM inequality. Once you can prove the stronger inequality, the result of our particular problem follows immediately from Cauchy–Schwarz as

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