| 广义Heron平均和幂平均的不等式 |
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| 引用本文： | 陈计 王振. 广义Heron平均和幂平均的不等式[J]. 成都大学学报(自然科学版), 1993, 12(4): 6-8 |
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| 作者姓名： | 陈计 王振 |
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| 摘 要： | 定出了使下式成立的最大P和最大小q其中b_1≥b_2>0,a_1/b_1≥a_2/b_1>0.
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| 关 键 词： | 广义IIcron平均 幂平均 不等式 |
The Generalized Heron Meron Mean and Power Mean Inequalities |
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| Ghen Ji, Wang Zhen. The Generalized Heron Meron Mean and Power Mean Inequalities[J]. Journal of Chengdu University (Natural Science), 1993, 12(4): 6-8 |
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| Authors: | Ghen Ji Wang Zhen |
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| Affiliation: | Ghen Ji; Wang Zhen |
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| Abstract: | In this note, we determine the greatest p (=1/r) and the least value q (=(r+2)/(3r)) such that M_p(a_1, a_2)/M_p(b_1, b_2)≤I_r(a_1, a_2)/I_r(b_1, b_2)≤M_q(a_1, a_2)/M_q(b_1, b_2) is valid for b_1≥b_2>0, a_1/b_1≥a_2/b_2>0. |
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| Keywords: | generalized Heron mean power mean inequality |
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