算术-几何平均值与几何-调和平均值的注记  

Remarks on arithmetic-geometric mean and geometric-harmonic mean

作　　者：刘证[1] 

机构地区：[1]辽宁科技大学理学院,辽宁鞍山114051

出　　处：《鞍山科技大学学报》2007年第3期230-235,共6页Journal of Anshan University of Science and Technology

摘　　要：给出算术-几何平均值与几何-调和平均值之间的一些基本关系式和有关的不等式,并且把它们与常见的几类复合平均值做了比较。Some basic relations between arithmetic-geometric mean and geometric-harmonic mean and related inequalities were given. Moreover, these two means were compared with some classes of well known compound means.

关 键 词：算术-几何平均值 几何-调和平均值 复合平均值 

分 类 号：O178[理学—数学]