INEQUALITY'S BLOG

August 1, 2010

Problem 034

Filed under: Uncategorized — KKKVVV @ 1:12 am

Let f:R\longrightarrow R_{0}^{+} and f''>0. Prove that for a\geq b\geq c>0; a,b,c\in I; we have

\displaystyle \frac{ab^2f(a)+bc^2f(b)+ca^2f(c)}{3}\geq abcf\biggl(\frac{a+b+c}{3}\biggl)

 

Van Khea   

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