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L_p混合截面体的一些几何不等式（英文）
Inequalities for L_p Mixed Intersection Bodies
【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.
【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.
【关键词】 Star body；
Radial function；
L_p mixed intersection bodies；
L_p Cosine transform；
【Key words】 Star body； Radial function； L_p mixed intersection bodies； L_p Cosine transform；
【Key words】 Star body； Radial function； L_p mixed intersection bodies； L_p Cosine transform；
【基金】 Supported by the Natural Science Foundation of Hunan Province(2017JJ3085+16C0635);Supported by the China Postdoctoral Science Foundation(2016M601644)
- 【文献出处】 数学季刊(英文版) ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2018年02期
- 【分类号】O174;O178
- 【下载频次】13