Böröczky, Károly (Ifj.) and Henk, Martin (2016) Cone-volume measure of general centered convex bodies. ADVANCES IN MATHEMATICS, 286. pp. 703-721. ISSN 0001-8708
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Official URL: http://dx.doi.org/10.1016/j.aim.2015.09.021
Abstract
We show that the cone-volume measure of a convex body with centroid at the origin satisfies the subspace concentration condition. This extends former results obtained in the discrete as well as in the symmetric case and implies, among others, a conjectured best possible inequality for the U-functional of a convex body. © 2015 Elsevier Inc.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | U-functional; Subspace concentration condition; Polytope; Log-Minkowski problem; Lp-Minkowski problem; Cone-volume measure; Centroid; Centro-affine inequalities |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Jan 2017 09:40 |
| Last Modified: | 04 Jan 2017 09:40 |
| URI: | http://real.mtak.hu/id/eprint/44378 |
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