Bull. Korean Math. Soc. 2018; 55(1): 139-148
Online first article August 3, 2017 Printed January 31, 2018
https://doi.org/10.4134/BKMS.b160879
Copyright © The Korean Mathematical Society.
Lujun Guo, Gangsong Leng, Youjiang Lin
Henan Normal University, Shanghai University, Chongqing Technology and Business University
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
MSC numbers: 52A20, 52A40
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