*Problem:*

Positive real numbers satisfy the condition . Prove that

.

*Solution:*

From Holder’s inequality we have that:

.

So, it remains to prove

.

But , *Q.E.D.*

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Home » Uncategorized » Inequality 24(Moldavian TST 2002)

*Problem:*

Positive real numbers satisfy the condition . Prove that

.

*Solution:*

From Holder’s inequality we have that:

.

So, it remains to prove

.

But , *Q.E.D.*

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