Re: It is not easy


Rob wrote:
Student of Math wrote:
I am working on this inequality since Nov2004, with no proof for it,
(a+b+c+d+e)(ab+bc+cd+de+ea)<(a^1.5+b^1.5+c^1.5+d^1.5+e^1.5)^2,
for any real&positive real a,b,c,d,e.
Please help me to find its proof.

Try induction on the sum of a,b,c,d,e. [...]

This would only give a proof if a,b,c,d,e are positive _INTEGERS_.

Hints for Student of Math: Try to prove it using fewer variables. Try
induction on the _number_ of variables.

--- Christopher Heckman

.

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