Prove that for non-negative reals ,
By AM-GM we have ,
and also ,
Adding the two inequalities we get the desired.
Equality occurs when all the variables are equal.
Ram, this is the Hugen’s inequality. Also try for a proof by Jensen’s inequality. Darij posted that proof in http://www.mathlinks.ro
cool…so does it mean i proved a theorem? .. 😀
Fill in your details below or click an icon to log in:
You are commenting using your WordPress.com account. ( Log Out / Change )
You are commenting using your Twitter account. ( Log Out / Change )
You are commenting using your Facebook account. ( Log Out / Change )
You are commenting using your Google+ account. ( Log Out / Change )
Connecting to %s
Notify me of new comments via email.
Enter your email address to subscribe to this blog and receive notifications of new posts by email.
Join 20 other followers