A stability result for p-centroid bodies
Bull. Korean Math. Soc. 2018 Vol. 55, No. 1, 139-148
Published online January 31, 2018
Lujun Guo, Gangsong Leng, Youjiang Lin
Henan Normal University, Shanghai University, Chongqing Technology and Business University
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
MSC numbers : 52A20, 52A40
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