INEQUALITY'S BLOG

August 1, 2010

Problem 041

Filed under: Uncategorized — KKKVVV @ 7:42 am

Let f;R\longrightarrow R_{0}^{+} and f''>0 . For a, b, c be positive real numbers and satisfying a\leq b\leq c. Prove that:

(c+a)(c-b)f(a)+(a+b)(a-c)f(b)+(b+c)(b-a)f(c)\geq 0

Van Khea

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