Open Access

Inequalities for dual affine quermassintegrals

Journal of Inequalities and Applications20062006:50181

DOI: 10.1155/JIA/2006/50181

Received: 18 April 2005

Accepted: 8 November 2005

Published: 14 May 2006


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.


Authors’ Affiliations

Department of Mathematics, Shanghai University


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© Y. Jun and L. Gangsong. 2006

This article is published under license to BioMed Central Ltd. 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.