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A problem about the AM-GM inequality (一道关于均值不等式的题目)

已有 2971 次阅读 2021-2-1 11:29 |个人分类:FUN MATH|系统分类:科研笔记

Recently, Kai-Liang brought to my attention an extension form of the classic inequality of the arithmetic and geometric means.

Screen Shot 2021-02-01 at 11.25.56 AM.png

It is easy to see C2=1. It is not easy to calculate C3. I spent a couple of days on this problem and found the solution.

My method is very standard and hence very DULL, unfortunately.

Anyway, I copied here in case anyone can propose a better method and provide solutions to other cases.



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