INEQUALITY'S BLOG

July 26, 2010

(Van Khea):Problem 009

Filed under: the new math — KKKVVV @ 6:15 pm

Let: -1<x, y, z<1. Prove that:

\displaystyle \frac{1}{(1+x^{2})(1+y^{2})(1+z^{2})}+\frac{1}{(1+x)^{2}(1+y)^{2}(1+z)^{2}}\geq 2(1-x)(1-y)(1-z)

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