数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1044-1052.doi: 10.1016/S0252-9602(10)60101-4

• 论文 • 上一篇    下一篇

INEQUALITIES FOR Lp-MIXED CURVATURE IMAGES

卢峰红1, 王卫东2   

  1. 1. Department of Mathematics, Shanghai University of Electric Power, Shanghai |200090, China; 2. Department of Mathematics, China Three Goeges University, Yichang 443002, China
  • 收稿日期:2006-12-18 出版日期:2010-07-20 发布日期:2010-07-20
  • 基金资助:

    Supported by Innovation Program of Shanghai Municipal Education Commission (10YZ160), Science and Technology Commission Foundation of Shanghai (071605123), and Science Foundation for the Excellent Youth Scholars of Shanghai

INEQUALITIES FOR Lp-MIXED CURVATURE IMAGES

 LU Feng-Hong1, WANG Wei-Dong2   

  • Received:2006-12-18 Online:2010-07-20 Published:2010-07-20
  • Supported by:

    Supported by Innovation Program of Shanghai Municipal Education Commission (10YZ160), Science and Technology Commission Foundation of Shanghai (071605123), and Science Foundation for the Excellent Youth Scholars of Shanghai

摘要:

Lutwak, Yang,  and Zhang posed the notion of Lp-curvature images and established several Lp analogs of the
affine isoperimetric inequality. In this article, the notion of Lp-mixed curvature images is introduced, Lp-curvature images being a special case. The  properties and Lp analogs of the affine isoperimetric inequality are established for Lp-mixed curvature images.

关键词: Lp-mixed curvature images, affine isoperimetric inequality Lp-mixed projection body,  Lp-mixed centroid body

Abstract:

Lutwak, Yang,  and Zhang posed the notion of Lp-curvature images and established several Lp analogs of the
affine isoperimetric inequality. In this article, the notion of Lp-mixed curvature images is introduced, Lp-curvature images being a special case. The  properties and Lp analogs of the affine isoperimetric inequality are established for Lp-mixed curvature images.

Key words: Lp-mixed curvature images, affine isoperimetric inequality Lp-mixed projection body,  Lp-mixed centroid body

中图分类号: 

  • 52A40