节点文献
一类幂平均不等式的完善
The Perfection for a Class of Power Mean Inequality
【摘要】 设n≥2,n∈N,β>θ>0,a∈R+n,r∈R,Mr(a)为a的r次幂平均,将确定参数λ,使(G(a))1-λ(Mβ(a))λ≤Mθ(a)成立.此结果推广了一些已知结论.
【Abstract】 Let n≥2,n∈N,β>θ> 0,α∈R+n,r∈R,Mr(α) be r power mean ofα.This paper are going to determine the parameterλwhich make(G(α))1-λ(Mβ(α))λ≤Mθ(α)available.The result expands some known results.
【关键词】 分析不等式;
不等式;
最值压缩定理;
【Key words】 analytic inequality; inequality; compressed independent variables theorem;
【Key words】 analytic inequality; inequality; compressed independent variables theorem;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年19期
- 【分类号】O178
- 【被引频次】1
- 【下载频次】86