New inequalities for Holmes-Thompson and Busemann measures
Some sharp bounds for the inner radius and the outer radius of the unit ball of a (normed or) Minkowski space with respect to its isoperimetrix are known. To find more such bounds is a challenging problem. Related to this motivation, we derive new sharp inequalities between inner and outer radii for...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2020
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| Sorozat: | Acta scientiarum mathematicarum
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| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-019-130-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/69375 |
| Tartalmi kivonat: | Some sharp bounds for the inner radius and the outer radius of the unit ball of a (normed or) Minkowski space with respect to its isoperimetrix are known. To find more such bounds is a challenging problem. Related to this motivation, we derive new sharp inequalities between inner and outer radii for the Holmes–Thompson and Busemann measures. Cross-section measures as well as the Blaschke–Santaló inequality will be used to obtain these new inequalities. |
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| Terjedelem/Fizikai jellemzők: | 321-330 |
| ISSN: | 2064-8316 |