一类迭代平均值的广义加权推广

Generalization of a class of iterative means in generalized weighting

将一类算术迭代平均值、几何迭代平均值及调和迭代平均值推广到广义加权平均迭代的情形,给出了这3类广义加权迭代平均值的定义、计算公式,以及三者之间的一些等量关系、不等式关系和多重迭代的极限.

This paper generalized a class of arithmetic iterative mean, geometric iterative mean in the generalized weighted of and harmonic iterative mean, and then gave the definition,the calculation formula, the equality relations, inequality relations of them, and the limits of the multidimensional iterations