All $a_{i}$ are positive real numbers.Prove that,
\[\sum_{cyclic} \frac{1}{a_{i}^{n}+a_{i+1}^{n}+......................+a_{i+n-2}^{n}+a_{1}a_{2}.....a_{n}} \leq \frac{1}{a_{1}a_{2}..........a_{n}}\]
N'th power inequality
- zadid xcalibured
- Posts:217
- Joined:Thu Oct 27, 2011 11:04 am
- Location:mymensingh
- zadid xcalibured
- Posts:217
- Joined:Thu Oct 27, 2011 11:04 am
- Location:mymensingh
Re: N'th power inequality
This is not some problem i came across.It is a generalization of a problem by Mehfuz Zohir Shishir.I posted this on behalf of him.He forgot his forum password.