Strengthened volume inequalities for L_p zonoids of even isotropic measures
We strengthen the volume inequalities for L-p zonoids of even isotropic measures and for their duals, which are originally due to Ball, Barthe, and Lutwak, Yang, and Zhang. The special case p = infinity yields a stability version of the reverse isoperimetric inequality for centrally symmetric convex...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
371 No. 1 |
| doi: | 10.1090/tran/7299 |
| mtmt: | 3275048 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/18285 |
| Tartalmi kivonat: | We strengthen the volume inequalities for L-p zonoids of even isotropic measures and for their duals, which are originally due to Ball, Barthe, and Lutwak, Yang, and Zhang. The special case p = infinity yields a stability version of the reverse isoperimetric inequality for centrally symmetric convex bodies. Adding to known inequalities and stability results for the reverse isoperimetric inequality of arbitrary convex bodies, we state a conjecture on volume inequalities for L-p zonoids of general centered (non-symmetric) isotropic measures. |
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| Terjedelem/Fizikai jellemzők: | 505-548 |
| ISSN: | 0002-9947 |