节点文献
一种双参数平均及其应用
The Two-parameter Mean and Its Application
【摘要】 为有效的研究平均值及其关系,给出了一种双参数平均的定义,利用这种双参数平均关于参数的单调性,导出了许多著名的平均和不等式,同时对这些不等式给予了很好的几何刻画.
【Abstract】 For researching several average values and the relationship of them effectively,this paper gives the definition of a two-parameter mean.Taking advantage of the two-parameter mean′s monotony on parameter,a series of well-known means and inequalities are deduced and geometrical interpretations of inequalities are also presented.
【关键词】 双参数平均;
单调性;
不等式;
反对称点;
应用;
【Key words】 two-parameter mean; monotony; inequality; anti-symmetry point; application;
【Key words】 two-parameter mean; monotony; inequality; anti-symmetry point; application;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2007年03期
- 【分类号】O211
- 【被引频次】2
- 【下载频次】65