INEQUALITY'S BLOG

July 11, 2011

Problem 223 (van khea)

Filed under: Problem by Van Khea — KKKVVV @ 11:09 pm

Let a, b, c>0\& a^2+b^2+c^2=12. Prove that
\displaystyle \frac{a^2}{\sqrt{(1+a^3)(1+b^3)}}+\frac{b^2}{\sqrt{(1+c^3)(1+a^3)}}+\frac{c^2}{\sqrt{(1+a^3)(1+b^3)}}\geq \frac{4}{3}

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