The isoperimetric-type inequality for projection entropy
The projection entropy of convex bodies in [Formula: see text] is introduced. By using introduced [Formula: see text]-quermassintegrals, we prove an isoperimetric-type inequality for projection entropy. Some stronger inequalities than the classical isoperimetric inequality and the dual Urysohn inequality are obtained.
Authors
- Wenxue Xu (ORCID: https://orcid.org/0000-0002-9015-5131)
- Leiqin Yin (ORCID: https://orcid.org/0009-0007-4312-1952)
Institutions
- Southwest University (CN)
- Sichuan University (CN)
Publication Details
- Journal
- International Journal of Mathematics
- Published
- 2025-11-07
- DOI
- https://doi.org/10.1142/s0129167x26500126
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00