TY - JOUR
T1 - On Properties of $p$-Critical Points of Convex Bodies
AU - Huang , Xing
AU - Guo , Qi
JO - Communications in Mathematical Research 
VL - 2
SP - 161
EP - 170
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.02.07
UR - https://global-sci.org/intro/article_detail/cmr/18939.html
KW - convex body, $p$-Critical point, Minkowski measure of asymmetry, $p$-measure of asymmetry
AB - <p style="text-align: justify;">Properties of the $p$-measures of asymmetry and the corresponding affine
equivariant $p$-critical points, defined recently by the second author, for convex bodies
are discussed in this article. In particular, the continuity of $p$-critical points with
respect to $p$ on $(1, +∞)$ is confirmed, and the connections between general $p$-critical
points and the Minkowski-critical points ($∞$-critical points) are investigated. The
behavior of $p$-critical points of convex bodies approximating a convex bodies is studied
as well.</p>