一类含迭代的二元均值函数

On a class of two-variable means with iteration

摘要:

本文给出一类含有迭代的二元函数为均值函数的条件，研究了该类均值函数的对称性、等价性及拟算术均值函数关于该类均值函数的不变性.

Abstract:

This paper gives the condition that a class of two-variable functions with iteration shown in the text are means. The properties, such as the symmetry, equivalence and the invariance, of the quasi-arithmetic mean are considered with respect to this mean type.