Journal of Shanghai University(Natural Science Edition) ›› 2019, Vol. 25 ›› Issue (4): 493-501.doi: 10.12066/j.issn.1007-2861.2032

• Research Articles • Previous Articles     Next Articles

Asymmetric $L_{p}$-radial difference bodies

Jibing QI()   

  1. 1.College of Sciences, Shanghai University, Shanghai 200444
    2. Department of Mathematics and Statistics, Hefei Normal University, Hefei 230601, China
  • Received:2017-10-26 Online:2019-08-30 Published:2019-09-04
  • Contact: Jibing QI E-mail:qijibing@ahu.edu.cn

Abstract:

The notion of asymmetric $L_{p}$-radial difference bodies about star bodies has been defined, and some of their properties have been studied. Some inequalities for dual quermassintegrals of asymmetric $L_{p}$-radial difference bodies have been established. In particular, some inequalities for the volumes of asymmetric $L_p$-radial difference bodies have been obtained.

Key words: star body, difference bodies, dual quermassintegrals, convex geometry

CLC Number: