a) Let be an reordering of . Prove that:
b) Assuming prove also:
Hello,
I have shown a) by using the inequality of arithmetic and geometric means.
But I have problems with b). I failed to use any inequalities of means.
I tried to define . Then I have
,
given the additional . Though it seemed smart, I couldn't make use of it.
Is there anybody able to help?
Thanks in advance,
mili