一类加权对称平均不等式

A CLASS OF INEQUALITIES FOR WEIGHTED SYMMETRIC MEAN

考虑［２］，［３］提出的同一个关于ｎ 个非负实数的对称平均不等式问题，我们定义了一类加权对称平均。

The problem of symmetric mean inequality on n nonnegative real numbers mentioned in the papers by Kuang Jichang(1973) and Zhang Zhihua(1993) is studied and a class of weighted symmetric mean is defined,and two inequalities of the same mean are proved.