@Article{CMR-31-161, author = {Huang , Xing and Guo , Qi}, title = {On Properties of $p$-Critical Points of Convex Bodies}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {2}, pages = {161--170}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.07}, url = {http://global-sci.org/intro/article_detail/cmr/18939.html} }