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http://dx.doi.org/10.4134/BKMS.b160879

A STABILITY RESULT FOR P-CENTROID BODIES  

Guo, Lujun (Department of Mathematics and Information Science Henan Normal University)
Leng, Gangsong (Department of Mathematics Shanghai University)
Lin, Youjiang (Institute of Mathematics and Statistics Chongqing Technology and Business University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 139-148 More about this Journal
Abstract
In this paper, we prove a stability result for p-centroid bodies with respect to the Hausdorff distance. As its application, we show that the symmetric convex body is determined by its p-centroid body.
Keywords
p-centroid body; convex body; spherical integral transformation; p-cosine transformation;
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