数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 359-368.doi: 10.1016/S0252-9602(10)60052-5

• 论文 • 上一篇    

INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE Lp-PROJECTION BODY AND THE Lp-CENTROID BODY

  

  1. Department of Mathematics, China Three Gorges University, Yichang 443002, China
    Department of Mathematics, Hubei Institute for Nationalities,  |Enshi  |445000, China
  • 收稿日期:2005-12-29 修回日期:2008-10-20 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    Sponsored by the Natural Science Foundation of China (10671117), Academic Mainstay Foundation of Hubei Province of China (D200729002) and Science Foundation of China Three Gorges University.

INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE Lp-PROJECTION BODY AND THE Lp-CENTROID BODY

  1. Department of Mathematics, China Three Gorges University, Yichang 443002, China
    Department of Mathematics, Hubei Institute for Nationalities,  |Enshi  |445000, China
  • Received:2005-12-29 Revised:2008-10-20 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    Sponsored by the Natural Science Foundation of China (10671117), Academic Mainstay Foundation of Hubei Province of China (D200729002) and Science Foundation of China Three Gorges University.

摘要:

Associated with the concepts of the Lp-mixed quermassintegrals, the Lp-mixed volume, and the Lp-dual mixed volume, we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body. Further, the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.

关键词: Lp-centroid body, Lp-projection body, Lp-mixed projection body, quermassintegrals, shephard problem

Abstract:

Associated with the concepts of the Lp-mixed quermassintegrals, the Lp-mixed volume, and the Lp-dual mixed volume, we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body. Further, the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.

Key words: Lp-centroid body, Lp-projection body, Lp-mixed projection body, quermassintegrals, shephard problem

中图分类号: 

  • 52A40