INEQUALITY'S BLOG

August 1, 2010

Problem 032

Filed under: Uncategorized — KKKVVV @ 12:51 am

Let a\geq b\geq c>0 and abc=1. Prove that:

\displaystyle \frac{b^2}{a^2}+\frac{c^2}{b^2}+\frac{a^2}{c^2}\geq \frac{1}{a^3}+\frac{1}{b^3}+\frac{1}{c^3}

 

Van Khea

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