| 关于广义L_p-混合投影体与广义L_p-混合质心体的单调不等式（英文） |
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| 引用本文： | 石伟,王卫东. 关于广义L_p-混合投影体与广义L_p-混合质心体的单调不等式（英文）[J]. 数学杂志, 2019, 0(3): 344-356 |
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| 作者姓名： | 石伟 王卫东 |
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| 作者单位： | 三峡大学理学院数学系;三峡大学数学研究中心 |
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| 基金项目： | Supported by the Natural Science Foundation of China(11371224);Excellent Foundation of Graduate Student of China Three Gorges University(2017YPY077) |
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| 摘 要： | 本文研究了广义L_p-混合投影体及广义L_p-混合质心体的单调性问题.利用解析不等式,获得了广义L_p-混合投影体与广义L_p-混合质心体的均质积分与对偶均质积分形式的单调不等式,推广了L_p-投影体及L_p-质心体的体积形式的单调性.
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| 关 键 词： | 广义Lp-混合投影体 广义Lp-混合质心体 单调不等式 |
SOME MONOTONIC INEQUALITIES FOR GENERAL L_p-MIXED PROJECTION BODIES AND GENERAL L_p-MIXED CENTROID BODIES |
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| SHI Wei,WANG Wei-dong. SOME MONOTONIC INEQUALITIES FOR GENERAL L_p-MIXED PROJECTION BODIES AND GENERAL L_p-MIXED CENTROID BODIES[J]. Journal of Mathematics, 2019, 0(3): 344-356 |
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| Authors: | SHI Wei WANG Wei-dong |
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| Affiliation: | (Department of Mathematics,College of Science,China Three Gorges University,Yichang 443002,China;Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China) |
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| Abstract: | SHI Wei;WANG Wei-dong(Department of Mathematics,College of Science,China Three Gorges University,Yichang 443002,China;Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China) |
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| Keywords: | general Lp-mixed projection body general Lp-mixed centroid body monotonic inequality |
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