首页|Asymptotic properties of two affine invariants for 1-unconditional convex bodies

Asymptotic properties of two affine invariants for 1-unconditional convex bodies

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Let K be a 1-unconditional convex bodies in Euclidean spaces. We study the asymptotic properties of two affine invariants m2(K) and S2(K) for a random simplex inside K. As an application, we discuss the asymptotic properties of two affine invariants m2(Bnp) and S2(Bnp), where Bnp = {χ∈ Rn: ‖χ‖p ≤ 1}.

convex body1-unconditional convex bodyisotropic constantSylvester's problemrandom simplex

XIE Fu-sheng、HE Bin-wu、YI Jun

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

Basic Education Department, Tianhua College of Shanghai Normal University, Shanghai 201815, P. R. China

国家自然科学基金

10671119

2010

10.1007/s11741-010-0634-3

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(3)
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