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Sharp of the cyclic inequalities of dual mixed volumes. (Chinese. English summary) Zbl 1424.52010

Summary: In this paper, we study the dual mixed volume using the Huke inequality. We obtain stronger versions of the cyclic inequality for the dual mixed volume, the dual Minkowski inequality, the dual Brunn-Minkowski inequality and the dual Knesser-Süss inequality.

MSC:

52A39 Mixed volumes and related topics in convex geometry
52A40 Inequalities and extremum problems involving convexity in convex geometry
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
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