INEQUALITY'S BLOG

July 30, 2010

(Van Khea): Problem 024

Filed under: Uncategorized — KKKVVV @ 3:09 am

Let a, b, c>0; a^2+b^2+c^2=1. Prove that for k\geq 0 we have:

\displaystyle a(bc)^{\frac{1}{4.3^{k}}}+b(ca)^{\frac{1}{4.3^{k}}}+c(ab)^{\frac{1}{4.3^{k}}}\leq 3^{\frac{2.3^{k}-1}{4.3^{k}}}

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