(m,k)均衡平均值的序关系链

The inequality chain between(m,k) equilibrium mean

本文利用n维长方体的几何模型引进了一类新的平均值概念──（m，k）均衡平均值Bkm，并建立了均衡平均值间的序关系性（9）。所得结果是我们熟知的调和平均值、几何平均值和算术平均值的序关系HnGnAn的推广．

In this paper,a new notion about the (k,m) equilibrium mean B: have produced from geometrical model of the n - dimensional cuboid,and the inequality chain between these mean have proved. This result is a generalization of the well - known inequality H_n≤G_n≤A_n between harmonic mean,geometric mean and arithmetic mean.