一类多元不等式的推广及应用

The Generalization and Application of Poly Basic Inequality

琴生不等式是一个重要的不等式。首先,从《数学通报》2007年第9期的一个问题出发,根据问题结构特点,巧妙利用琴生不等式求解;其次,对问题进行了推广,获得了三个结论;最后,把获得的结论应用到解决有关的三角问题上。

Jensen Inequality is an important inequality. Firstly, the 1649 problem of the 9th of the mathematical report is soluted ingeniously according to the problem structure characteristic.Then, the problem is generalized, and obtained three conclusions.At last, the conclusions are applied to solve the related triangular problems.