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✦   LIBER   ✦

On an inequality of Minkowski for mixed volumes

✍ Scribed by H. Groemer

Book ID
104641778
Publisher
Springer
Year
1990
Tongue
English
Weight
223 KB
Volume
33
Category
Article
ISSN
0046-5755

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

A geometric inequality on mixed volumes
A geometric inequality on mixed volumes
✍ Young Do Chai 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 326 KB

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.