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加权算术平均与几何平均关系式的新证法
引用本文:黄德源.加权算术平均与几何平均关系式的新证法[J].南方冶金学院学报,1992,13(3):234-236.
作者姓名:黄德源
作者单位:南方冶金学院基础部
摘    要:利用函数极小点的性质,得到了若干个正数的加权算术平均与几何平均关系式的新证法

关 键 词:加权算术平均  加权几何平均

A New Approach to the Proving of the Relational Expression of Weighted Arithmetic and Geometric Means
Huang Deyuan.A New Approach to the Proving of the Relational Expression of Weighted Arithmetic and Geometric Means[J].Journal of Southern Institute of Metallurgy,1992,13(3):234-236.
Authors:Huang Deyuan
Affiliation:Department of Badic Courses
Abstract:This paper presents a new approach to the demonstration of the relational expression of the weighted arithmetic and weighted geometric means of some positive numbers by way of the nature of the functional minimum point.
Keywords:weighted arithmetic mean  weighted geometric mean  functional minimum point  Hessian matrix  positively definite matrix  
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