| Lp Brunn-Minkowski型仿射均质积分不等式 |
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| 引用本文： | 曹章要,梁俊奇.Lp Brunn-Minkowski型仿射均质积分不等式[J].数学的实践与认识,2021(2):316-320. |
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| 作者姓名： | 曹章要 梁俊奇 |
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| 作者单位： | 黄河交通学院基础部;商丘师范学院数学与统计学院 |
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| 摘 要： | 经典的仿射均质积分不等式是Brunn-Minkowski理论中一个关键不等式.建立了Lp Brunn-Minkowski型仿射均质积分不等式,定义了Lp Brunn-Minkowski型仿射混合均质积分且推广得到了Lp Brunn-Minkowski型仿射混合均质积分不等式.
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| 关 键 词： | 凸体 Brunn-Minkowski理论 均质积分 仿射均质积分 |
Lp Brunn-Minkowski Type Inequalities for Affine Quermassintegrals |
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| CAO Zhang-yao,LIANG Jun-qi.Lp Brunn-Minkowski Type Inequalities for Affine Quermassintegrals[J].Mathematics in Practice and Theory,2021(2):316-320. |
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| Authors: | CAO Zhang-yao LIANG Jun-qi |
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| Institution: | (Department of Basic Courses,Huanghe Transportation College,Zhengzhou 454950,China;School of Mathematics and Statistics,Shangqiu Normal University,Shangqiu 476000,China) |
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| Abstract: | The classical affine quermassintegrals inequality is a cornerstone in the BrunnMinkowski theory.In this paper,we establish the Brunn-Minkowski type inequalities for affine quermassintegrals,and furthermore,we define the Brunn-Minkowski type inequalities for mixed affine quermassintegrals and obtain some inequalities for them. |
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| Keywords: | convex body Brunn-Minkowski theory quermassintegral affine quermassintegral |
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