| (m,k)均衡平均值的序关系链 |
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| 引用本文： | 石赛英. (m,k)均衡平均值的序关系链[J]. 杭州师范学院学报(自然科学版), 1999, 0(6) |
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| 作者姓名： | 石赛英 |
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| 作者单位： | 杭州师范学院数学系 浙江杭州，310012 |
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| 摘 要： | 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．
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| 关 键 词： | 平均值 序关系链 |
The inequality chain between (m,k) equilibrium mean |
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| SHI Sai - ying. The inequality chain between (m,k) equilibrium mean[J]. Journal of Hangzhou Teachers College(Natural Science), 1999, 0(6) |
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| Authors: | SHI Sai - ying |
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| Abstract: | In this paper,a new notion about the (k,m) equilibrium mean Bkm 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 Hn Gn An between harmonic mean, geometric mean and arithmetic mean. |
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| Keywords: | equilibrium mean inequality chain |
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