Prove the following inequalities.

1)

2)

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- Jan 9th 2009, 04:44 AMgreat_mathProve:
Prove the following inequalities.

1)

2) - Jan 9th 2009, 05:22 AMADARSH
(Hi)What I have Done is WRONG as rightly pointed by Isomorphism

1)

http://www.mathhelpforum.com/math-he...9b1f547c-1.gif

Here

Here first term ie;

is greater than zero and so is second term

and

If still in troble feel free to ask(Wink) - Jan 10th 2009, 12:59 AMIsomorphism
Call . Then observe that your inequality amounts to proving But , which is clearly true.

**EDIT: This proof is wrong**:(

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Multiply out throughout by and then the inequality reduces to , which is clearly true by Muirhead inequality since (4,2,0) majorises (3,2,1).

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Thats wrong Adarsh, - Jan 20th 2009, 05:44 PMJaneBennet