Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (12): 1669-1678 .doi: https://doi.org/10.1007/s10483-007-1214-x

• 论文 • 上一篇    下一篇

On the Lp intersection body

朱先阳, 冷岗松   

  • 收稿日期:2006-11-30 修回日期:2007-10-22 出版日期:2007-12-18 发布日期:2007-12-18
  • 通讯作者: 冷岗松

On the Lp intersection body

ZHU Xian-yang, LENG Gang-song   

  1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China
  • Received:2006-11-30 Revised:2007-10-22 Online:2007-12-18 Published:2007-12-18
  • Contact: LENG Gang-song

Abstract: In this paper, by using the Brunn-Minkowski-Firey mixed volume theory and dual mixed volume theory, associated with Lp intersection body and dual mixed volume, some dual Brunn-Minkowski inequalities and their isolate
forms are established for Lp intersection body about the normalized Lp radial addition and Lp radial linear combination. Some properties of operator Lp are given.

Key words: Lp intersection body, star body, property, Brunn-Minkowski inequality

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals