| 广义Heronian平均与幂平均的最优比较 |
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| 引用本文： | 张涛,席博彦,阿拉坦仓.广义Heronian平均与幂平均的最优比较[J].数学的实践与认识,2012,42(13):235-240. |
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| 作者姓名： | 张涛 席博彦 阿拉坦仓 |
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| 作者单位： | 1. 内蒙古大学数学科学学院,内蒙古呼和浩特,010021
2. 内蒙古民族大学数学科学学院,内蒙古通辽,028043 |
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| 基金项目： | 国家自然科学基金，内蒙古自然科学基金，内蒙民族大学科学研究资助项 |
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| 摘 要： | 比较了含有两个参数的广义Heronian平均H_(p,W)(a,b)与幂平均M_q(a,b)的大小,得到了M_q(a,b)≥(≤)H_(p,w)(a,b)对于任意a,b>0成立的充要条件.
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| 关 键 词： | 广义Heronian平均 幂平均 不等式 |
Compared of Generalized Heronian Means and Power Means |
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| ZHANG Tao
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XI Bo-yan
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Alatancang.Compared of Generalized Heronian Means and Power Means[J].Mathematics in Practice and Theory,2012,42(13):235-240. |
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| Authors: | ZHANG Tao XI Bo-yan Alatancang |
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| Institution: | ZHANG Tao 1,XI Bo-yan 2,Alatancang 1 (1.School of Mathmatical Sciences,Inner Mongolia University,Hohhot 010021,China) (2.School of Mathmatical Sciences,Inner Mongolia University for Nationalities,Tongliao 028043,China) |
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| Abstract: | Generalized Heronian means Hp,w（a,b） involving two parameters is compared with the power means Mq,（ab）,and a necessary’ and sufficient condition that Mq（a,b）≥（≤） Hp,w（a,b）for every a,b > 0 is obtained. |
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| Keywords: | Heronian means power means inequality |
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