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广义质心体的非对称版本(英文) 被引量:1

The asymmetric version of generalized centroid bodies
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摘要 广义质心体是关于概率测度的Orlicz质心体的多元情形.考虑广义质心体的非对称版本,即将关于概率测度的非对称Orlicz质心体推广到多元情形,并建立相应的质心不等式. In this paper,we consider the asymmetric version of the generalized centroid body,which extends the Orlicz centroid body for probability measures to multivariate case,and the asymmetric centroid inequality for the generalized centroid body is also obtained.
作者 施柯杰 王琰 SHI Kejie;WANG Yan(College of Sciences,Shanghai University,Shanghai 200444,China)
机构地区 上海大学理学院
出处 《应用数学与计算数学学报》 2018年第3期425-436,共12页 Communication on Applied Mathematics and Computation
基金 supported by the National Natural Science Foundation of China(11271244)
关键词 广义质心体 概率测度 非对称质心体 Orlicz质心体 非对称质心不等式 generalized centroid body probability measures asymmetric cen-troid body Orlicz centroid body asymmetric centroid inequality
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