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