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 A stability result for p-centroid bodies Bull. Korean Math. Soc. 2018 Vol. 55, No. 1, 139-148 https://doi.org/10.4134/BKMS.b160879Published 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 Downloads: Full-text PDF