INEQUALITY'S BLOG

August 10, 2010

Problem 047

Filed under: Uncategorized — KKKVVV @ 1:24 pm

(Van Khea): Let a, b, c>0; a^2+b^2+c^2=1. Prove that

\displaystyle \frac{a^{\frac{2}{3}}}{(b+c)^{2}}+\frac{b^{\frac{2}{3}}}{(c+a)^2}+\frac{c^{\frac{2}{3}}}{(a+b)^2}\geq \frac{3^{\frac{2}{3}}}{4(a^4+b^4+c^4)}

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