On the Asymmetry for Convex Domains of Constant Width 被引量：4

On the Asymmetry for Convex Domains of Constant Width

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摘要 The extremal convex bodies of constant width for the Minkowski measure of asymmetry are discussed. A result, similar to that of H. Groemer＇s and of H. Lu＇s, is obtained, which states that, for the Minkowski measure of asymmetry, the most asymmetric convex domains of constant width in R2 are Reuleaux triangles. The extremal convex bodies of constant width for the Minkowski measure of asymmetry are discussed. A result, similar to that of H. Groemer＇s and of H. Lu＇s, is obtained, which states that, for the Minkowski measure of asymmetry, the most asymmetric convex domains of constant width in R2 are Reuleaux triangles.

作者 JIN HAI-LIN GUO QI

机构地区 Department of Mathematics

出处《Communications in Mathematical Research》 CSCD 2010年第2期176-182,共7页 数学研究通讯（英文版）

基金 The NSF (08KJD110016) of Jiangsu Hight Education

关键词 asymmetry measure reuleaux polygon constant width asymmetry measure, reuleaux polygon, constant width

分类号 O174.51 [理学—基础数学] O151.21 [理学—基础数学]

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参考文献6

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2GUO Qi,TOTH Gabor.Dual mean Minkowski measures of symmetry for convex bodies[J].Science China Mathematics,2016,59(7):1383-1394. 被引量：4

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1Huang Xing,Guo Qi,Ji You-qing.On Properties of p-critical Points of Convex Bodies[J].Communications in Mathematical Research,2015,31(2):161-170.
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3HUANG Xing,ZHU Huawei,GUO Qi.On the Dual p-Measures of Asymmetry for Star Bodies[J].Wuhan University Journal of Natural Sciences,2018,23(6):465-470.
4叶思.对偶Orlicz非对称度[J].应用数学与计算数学学报,2018,32(3):665-674.

1Lung-an Ying(Research institute for Mathematical Sciences, Kyoto University, Japan,Department of Mathematics, Peking University, Beijing 100871, China).CONVERGENCE OF CHORIN-MARSDEN FOR MULA FOR THENAVIER-STOKES EQUATIONS ON CONVEX DOMAINS[J].Journal of Computational Mathematics,1999,17(1):73-88.
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On the Asymmetry for Convex Domains of Constant Width 被引量：4

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