| 由几何凸函数生成的序列的单调性 |
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| 引用本文： | 张小明,胡英武.由几何凸函数生成的序列的单调性[J].北京联合大学学报(自然科学版),2004,18(4):44-47. |
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| 作者姓名： | 张小明 胡英武 |
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| 作者单位： | 浙江电视大学,海宁学院,浙江,海宁,314400;浙江省金华职业技术学院,浙江,金华,321017 |
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| 摘 要： | 利用与几何凸函数有关的不等式,定义构造了某些序列,运用对数控制不等式理论,研究了这些序列的单调性,从而更好地说明了几何凸函数的内在性质和特点,最后给出若干应用.
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| 关 键 词： | 凸函数 几何凸函数 不等式 单调序列 控制不等式 |
| 文章编号： | 1005-0310(2004)04-0044-04 |
| 修稿时间： | 2004年7月2日 |
On the Monotonicity of Sequences Generated by Geometric Convex Function |
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| ZHANG Xiao-ming,HU Ying-wu.On the Monotonicity of Sequences Generated by Geometric Convex Function[J].Journal of Beijing Union University,2004,18(4):44-47. |
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| Authors: | ZHANG Xiao-ming HU Ying-wu |
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| Institution: | ZHANG Xiao-ming~1,HU Ying-wu~2 |
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| Abstract: | By using the inequalities involving the geometric convex function, it constructes some sequences. Their monotonicity is studied using the logarithmic majorization,and thus illustrating property of geometric convex functions more clearly. Finally, some examples of applications are given. |
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| Keywords: | convex function geometric convex function inequality monotone sequence majorization |
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