prove

來源: 於 2015-09-05 15:39:37 [博客] [舊帖] [給我悄悄話] 本文已被閱讀：次

Let a=1-x, b=1-y, c=1-z. a+b+c=2. a, b, c>0.

Original left=sqrt(ab)+sqrt(bc)+sqrt(ac)<=(a+b)/2+(b+c)/2+(a+c)/2=2

= hold when a=b=c, ie. x=y=z=1/3