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J. Korean Math. Soc. 2006; 43(3): 593-607
Printed May 1, 2006
Copyright © The Korean Mathematical Society.
Inequalities for dual harmonic quermassintegrals
Yuan Jun, Yuan Shufeng, and Leng Gangsong
Shanghai University, Shanghai University, Shanghai University
In this paper, we study the properties of the dual harmonic quermassintegrals systematically and establish some inequalities for the dual harmonic quermassintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blas-chke-Santal$\acute{o}$ inequality and the Bieberbach inequality.
Keywords: convex body, star body, dual harmonic quermassintegrals, the Brunn-Minkowski inequality, the Blaschke-Santal$\acute{o}$ inequality
MSC numbers: 52A40, 52A20
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