INEQUALITY'S BLOG

August 3, 2011

Problem 265 van khea

Filed under: Problem by Van Khea — KKKVVV @ 2:53 pm

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

\displaystyle ab+bc+ca\geq \frac{2}{3}abc(a+b+c)+1

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