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.
Li et al. (Thu,) studied this question.