Demonstrates stability inequalities for volume in convex bodies, indicating new insights into geometric properties.
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.
No takes yet. Share an insight, caveat, or question.
Li et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: