Inequalities for hyperconvex sets
An r-hyperconvex body is a set in the d-dimensional Euclidean space Ed that is the intersection of a family of closed balls of radius r. We prove the analogue of the classical Blaschke-Santallo inequality for r-hyperconvex bodies, and we also establish a stability version of it. The other main resul...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2016
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| Sorozat: | ADVANCES IN GEOMETRY
16 No. 3 |
| doi: | 10.1515/advgeom-2016-0013 |
| mtmt: | 2821433 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/18296 |
| Tartalmi kivonat: | An r-hyperconvex body is a set in the d-dimensional Euclidean space Ed that is the intersection of a family of closed balls of radius r. We prove the analogue of the classical Blaschke-Santallo inequality for r-hyperconvex bodies, and we also establish a stability version of it. The other main result of the paper is an r-hyperconvex version of the reverse isoperimetric inequality in the plane. |
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| Terjedelem/Fizikai jellemzők: | 337-348 |
| ISSN: | 1615-715X |