• Journal of the Korean Mathematical Society
• /
• v.43 no.3
• /
• pp.593-607
• /
• 2006

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 Blaschke-Santalo inequality and the Bieberbach inequality.

• Journal of the Korean Mathematical Society
• /
• v.43 no.3
• /
• pp.609-622
• /
• 2006

In this paper, we established the monotony properties of generalized projection bodies $II_{\imath}K$, intersection bodies $I_{\imath}K$ and centroid bodies ${\Gamma}_{\imath}K$.

• East Asian mathematical journal
• /
• v.16 no.2
• /
• pp.363-370
• /
• 2000

We evaluate the dual quermassintegrals of $\gamma$-equichordal bodies and obtain the lower bound for the volume product of p-centroid body in $E^2$.