Stability of Volume Inequalities Associated with Lp Zonoids

Axioms 2026 Open access

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Authors: Ai-Jun Li, Siyao Sun
DOI: 10.3390/axioms15020098
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Point processes and geometric inequalities Mathematical Inequalities and Applications Advanced Combinatorial Mathematics

Publication details

Journal / source
Axioms
Volume
15
Issue
2
Pages
98–98
Publication date
29 January 2026
Language
EN