数学季刊 ›› 2018, Vol. 33 ›› Issue (2): 156-165.doi: 10.13371/j.cnki.chin.q.j.m.2018.02.006

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L_p混合截面体的一些几何不等式

  

  1. School of Mathematics and Computational Science, Hunan University of Science and Technology.  Department of Mathematics, Tongji University.
  • 接受日期:2015-11-15 出版日期:2018-06-30 发布日期:2020-10-09
  • 作者简介:LIU Li-juan(1980-), female, Hailun, Heilongjiang, a lecturer of Hunan University of Science and Technology, Ph.D., engages in convex geometry; WANG Wei(1982-), male, Qiyang, Hunan, an associate professor of Hunan University of Science and Technology, Ph.D., engages in convex geometry.
  • 基金资助:
    Supported by the Natural Science Foundation of Hunan Province(2017JJ3085+16C0635)； Supported by the China Postdoctoral Science Foundation(2016M601644)；

Inequalities for Lp Mixed Intersection Bodies

  1. School of Mathematics and Computational Science, Hunan University of Science and Technology.  Department of Mathematics, Tongji University.
  • Accepted:2015-11-15 Online:2018-06-30 Published:2020-10-09
  • About author:LIU Li-juan(1980-), female, Hailun, Heilongjiang, a lecturer of Hunan University of Science and Technology, Ph.D., engages in convex geometry; WANG Wei(1982-), male, Qiyang, Hunan, an associate professor of Hunan University of Science and Technology, Ph.D., engages in convex geometry.
  • Supported by:
    Supported by the Natural Science Foundation of Hunan Province(2017JJ3085+16C0635)； Supported by the China Postdoctoral Science Foundation(2016M601644)；

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摘要： Haberl and Ludwig defined the notions of L_p intersection bodies. In this paper,we introduce the L_p mixed intersection bodies, and establish some geometric inequalities for L_p mixed intersection bodies. Furthermore, the Busemann-Petty type problem for L_p mixed intersection bodies are shown. 

关键词: Star body, Radial function, Lp mixed intersection bodies, Lp Cosine transform

Abstract: Haberl and Ludwig defined the notions of L_p intersection bodies. In this paper,we introduce the L_p mixed intersection bodies, and establish some geometric inequalities for L_p mixed intersection bodies. Furthermore, the Busemann-Petty type problem for L_p mixed intersection bodies are shown. 

Key words: Star body, Radial function, Lp , mixed intersection bodies, Lp , Cosine transform

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