INEQUALITY'S BLOG

August 13, 2011

Problem 279 Van Khea

Filed under: Problem by Van Khea — KKKVVV @ 10:20 am

Let a, b, c be positive real numbers such that a^2+b^2+c^2=3. Prove that:

\displaystyle ab^2+bc^2+ca^2\leq \frac{3}{4}(a+b+c+1)

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