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| 摘要: |
| 本文研究了广义Lp-混合投影体及广义Lp-混合质心体的单调性问题.利用解析不等式，获得了广义Lp-混合投影体与广义Lp-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Lp-投影体及Lp-质心体的体积形式的单调性. |
| 关键词: 广义Lp-混合投影体 广义Lp-混合质心体 单调不等式 |
| DOI： |
| 分类号:O184 |
| 基金项目:Supported by the Natural Science Foundation of China (11371224) and Excellent Foundation of Graduate Student of China Three Gorges University (2017YPY077). |
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| SOME MONOTONIC INEQUALITIES FOR GENERAL Lp-MIXED PROJECTION BODIES AND GENERAL Lp-MIXED CENTROID BODIES |
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SHI Wei,WANG Wei-dong
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| Abstract: |
| In this paper, we study the problem of the monotonicity on general Lp-mixed projection bodies and general Lp-mixed centroid bodies. By using analytic inequality theory, some monotonic inequalities of quermassintegrals and dual quermassintegrals for general Lp-mixed projection bodies and general Lp-mixed centroid bodies are obtained, which generalizes the problem of the monotonicity for the form of volume on Lp-projection bodies and Lp-centroid bodies. |
| Key words: general Lp-mixed projection body general Lp-mixed centroid body monotonic inequality |
