| 关于1-无条件体两个仿射不变量的渐进性质 |
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| 引用本文： | 吴力荣,何斌吾,谢富生. 关于1-无条件体两个仿射不变量的渐进性质[J]. 安庆师范学院学报(自然科学版), 2010, 16(3): 21-24. DOI: 10.3969/j.issn.1007-4260.2010.03.006 |
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| 作者姓名： | 吴力荣 何斌吾 谢富生 |
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| 作者单位： | 浙江工业职业技术学院,浙江,绍兴,31200;上海大学,数学系,上海,200444;上海大学,数学系,上海,200444 |
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| 摘 要： | K是欧拉空间内的1-无条件体,该文给出了K中任意一个随机单形的仿射不变量m2(K)和S2(K)的渐进性质,同时,Bnp={x∈Rn∶‖x‖p≤1}时,讨论了这两个仿射不变量的渐进性质的应用。
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| 关 键 词： | 凸体 1-无条件体 迷向常数 Sylvester问题 |
Asymptotic Properties of Two Affine Invariants for 1-unconditional Convex Bodies |
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| WU Li-rong,HE Bin-wu,XIE Fu-sheng. Asymptotic Properties of Two Affine Invariants for 1-unconditional Convex Bodies[J]. Journal of Anqing Teachers College(Natural Science Edition), 2010, 16(3): 21-24. DOI: 10.3969/j.issn.1007-4260.2010.03.006 |
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| Authors: | WU Li-rong HE Bin-wu XIE Fu-sheng |
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| Affiliation: | WU Li-rong1,2,HE Bin-wu2,XIE Fu-sheng2(1.Zhejiang Industry , Vocation College,Shaoxing 312000,2.Department of Mathematics,Shanghai University,Shanghai 200444,China) |
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| Abstract: | 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 of this method,we discuss the asymptotic properties of two affine invariants m2(k) and S2(k),where Bnp={x∈Rn∶‖x‖p≤1}. |
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| Keywords: | convex body 1-uncodditional convex body isotropic constant Sylvester's problem |
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