Year: 2015
Author: Xing Huang, Qi Guo
Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.02.07
Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 161–170
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: convex body $p$-Critical point Minkowski measure of asymmetry $p$-measure of asymmetry