We extend the notion of Aczél’s iterations of a mean to three-variable means and prove that these iterations can be used to define a continuous and scale invariant weigthing procedure on an extensive class of means.

中文翻译：

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三变量均值的 Aczél 迭代

我们将 Aczél 均值迭代的概念扩展到三变量均值，并证明这些迭代可用于在广泛的均值类上定义连续且尺度不变的加权过程。