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Topic: proof of an inequality
Replies: 12   Last Post: Apr 24, 2013 9:02 AM

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oercim@yahoo.com

Posts: 236
Registered: 5/2/05
Re: proof of an inequality
Posted: Apr 23, 2013 12:11 PM
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Okey, I guess I got it. Let n=2,

x1^2+x2^2>=((x1+x2)^2)/4

==>4(x1^2+x2^2)>=(x1+x2)^2
==>3(x1^2+x2^2)>=2x1x2

if x1=x2, it is obvious it holds,

if x1 is not equal x2, then one is greater than other . Let say x1>x2

Then x1^2>x1x2. I guess it is easy to apply n variable case. Thanks alot.




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