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#1 2017-08-04 01:19:49

tyuighp
Member
Registered: 2015-12-04
Posts: 12

Find the minimum

Find the minimum possible value of

given that

are nonnegative real numbers

such that

.

Last edited by tyuighp (2017-08-04 01:20:57)

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#2 2017-08-04 01:46:24

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: Find the minimum

Use the AM-GM inequality to deduce that
You should be able to use the AM-GM inequality again, together with the fact that
, to get a lower bound for your original expression.

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