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A geometric inequality on mixed volumes

โœ Scribed by Young Do Chai

Book ID
104633763
Publisher
Springer
Year
1996
Tongue
English
Weight
326 KB
Volume
14
Category
Article
ISSN
0232-704X

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โœฆ Synopsis

We develop some geometric inequality for a kind of generalized convex set. The integral of (n -2)-th mean curvature of the generalized convex set, the mixed volume of the convex hull of the set, and a reference convex set are involved in the inequality.

๐Ÿ“œ SIMILAR VOLUMES

On a geometric inequality
On a geometric inequality
โœ B. D. Kotlyar ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer US ๐ŸŒ English โš– 174 KB
On an inequality of Minkowski for mixed
On an inequality of Minkowski for mixed volumes
โœ H. Groemer ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 223 KB

Using a recently established stability result regarding the Brunn-Minkowski theorem and simple facts about convex functions we find strengthened versions of known inequalities for the mixed volumes of convex bodies. These results improve previously known inequalities of this type.