Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 50181, 7 pages

Inequalities for dual affine quermassintegrals

Yuan Jun and Leng Gangsong

Department of Mathematics, Shanghai University, Shanghai 200444, China

Received 18 April 2005; Revised 2 November 2005; Accepted 8 November 2005

Copyright © 2006 Yuan Jun and Leng Gangsong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski inequality, the dual Brunn-Minkowski inequality, and the Blaschke-Santaló inequality.