| 一类幂平均不等式的完善 |
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| 引用本文： | 李春龙. 一类幂平均不等式的完善[J]. 数学的实践与认识, 2012, 42(19) |
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| 作者姓名： | 李春龙 |
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| 作者单位： | 内蒙古民族大学数学学院,内蒙古通辽,028043 |
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| 摘 要： | 设n≥2,n∈N,β>θ>0,a∈R_+~n,r∈R,M_r(a)为a的r次幂平均,将确定参数λ,使(G(a))~(1-λ)(Mβ(a))~λ≤M_θ(a)成立.此结果推广了一些已知结论.
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| 关 键 词： | 分析不等式 不等式 最值压缩定理 |
The Perfection for a Class of Power Mean Inequality |
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| LI Chun-long. The Perfection for a Class of Power Mean Inequality[J]. Mathematics in Practice and Theory, 2012, 42(19) |
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| Authors: | LI Chun-long |
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| Abstract: | Let n≥2,n∈N,β>θ> 0,α∈R_+~n,r∈R,M_r(α) be r power mean ofα.This paper are going to determine the parameterλwhich make(G(α))~(1-λ)(M_β(α))~λ≤M_θ(α)available.The result expands some known results. |
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| Keywords: | analytic inequality inequality compressed independent variables theorem |
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