INEQUALITY'S BLOG

August 14, 2011

Problem 286 Van Khea

Filed under: Problem by Van Khea — KKKVVV @ 7:26 am

Let a, b, c be positive real numbers such that abc\leq 1. Prove that

\displaystyle \frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{a^3+b^3+c^3}\geq \frac{10}{3}

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