Hi I am having trouble proving the following inequality:
Let n be a natural number.
The book I found this problem in suggests the use of these mean values:
and
I have tried everything but cant get it to work!
Any suggestions?
Hi I am having trouble proving the following inequality:
Let n be a natural number.
The book I found this problem in suggests the use of these mean values:
and
I have tried everything but cant get it to work!
Any suggestions?
A previous section before this problem has this fact:
If u,v are positive real numbers and n1, n2 are fixed natural numbers, then
and thus for any two real numbers a and b, where a + b = 1, we have
I tried using these facts as well but have still not gotten anywhere.