关于Cauchy不等式的一个改进

An Improvement of Cauchy Inequality

采用构造二次型的方法,对Cauchy不等式进行改进。在不含约束条件的情况下,得到了Cauchy不等式较小的一个上界,并将结果推广到离散形式。

In this paper, a study is made on the improvement of Cauchy inequality by using the method of constructing quadratic form. Under the absence of constraint conditions, a smaller upper bound of Cauehy inequality is obtained, which is also applied to discrete forlns.