%0 Journal Article
%T Stability results for sections of convex bodies
%A Matthew Stephen
%A Vladyslav Yaskin
%J Mathematics
%D 2015
%I arXiv
%X It is shown by Makai, Martini, and \'Odor that a convex body $K\subset\mathbb{R}^n$, all of whose maximal sections pass through the origin, must be origin-symmetric. We prove a stability version of this result. We also discuss a theorem of Koldobsky and Shane about determination of convex bodies by fractional derivatives of the parallel section function, and establish the corresponding stability result.
%U http://arxiv.org/abs/1506.04407v1