Banach空间中的拟范均值

Quasi-norm mean values in Banach space

在算术平均值和几何平均值的基础上,给出了一种新的平均值—拟算数平均值以及拟几何平均值,并将它们引入到Banach空间进行了讨论.给出了一些定义并在其基础上得到了这几类平均值在Banach空间中的几个有用的性质.

Based on the Arithmetic mean and the Geometric mean,we are going to study some new mean values and their properties in this article,and study them in Banach space.Gives some new definitions and found some useful properties based on these definitions in Banach space.