Stability of Volume Inequalities Associated with Lp Zonoids
In this paper, we establish stability versions of the volume inequalities associated with Lp zonoids. These results, particularly for the case 1≤p≤2, extend the case p=1 previously obtained by Brazitikos and Giannopoulos. As applications, we derive several stability inequalities for Lp isotropic convex bodies and for bodies with minimal p-mean width and minimal Lp surface area.
Authors
- Ai-Jun Li
- Siyao Sun
Institutions
- Zhejiang University of Science and Technology (CN)
Publication Details
- Journal
- Axioms
- Published
- 2026-01-29
- DOI
- https://doi.org/10.3390/axioms15020098
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Zhejiang Province