Inequalities for Lp Mixed Intersection Bodies

LIU Li-juan, WANG Wei

doi:10.13371/j.cnki.chin.q.j.m.2018.02.006

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 2: 156 - 165

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.006

Inequalities for L_p Mixed Intersection Bodies

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School of Mathematics and Computational Science, Hunan University of Science and Technology. Department of Mathematics, Tongji University.

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.

Accepted date: 2015-11-15

Online published: 2020-10-09

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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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; L_p ; mixed intersection bodies; L_p ; Cosine transform

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LIU Li-juan, WANG Wei . Inequalities for L_p Mixed Intersection Bodies[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(2) : 156 -165 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.006

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