| p-平行体类及其p-Steiner点的连续性 |
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| 引用本文： | 蒋俊华. p-平行体类及其p-Steiner点的连续性[J]. 应用数学与计算数学学报, 2012, 26(2): 143-147 |
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| 作者姓名： | 蒋俊华 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 基金项目： | 基金项目:国家自然科学基金资助项目 |
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| 摘 要： | 结合平行体及L_p-Firey组合的定义,引入了凸体的p-平行体.首先,研究了p-平行体与p-平均宽度之间的关系,然后,证明了p-平行体类在新的度量下的几个性质,并得到了关于p-平行体类的p-Steiner点的连续性结果.
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| 关 键 词： | p-平行体 p-平行体类 p-Steiner点 |
Classes of p-parallel bodies and continuity of p-Steiner point |
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| JIANG Jun-hua. Classes of p-parallel bodies and continuity of p-Steiner point[J]. Communication on Applied Mathematics and Computation, 2012, 26(2): 143-147 |
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| Authors: | JIANG Jun-hua |
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| Affiliation: | JIANG Jun-hua (College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | Combining the definitions of parallel bodies with L_p-Firey combinations, the notion of a p-parallel body of a convex body is introduced.Firstly,the relation between the p-parallel body and the p-mean width is studied.Then,several properties of p-parallel bodies under a new metric are proved,and the continuity of p-Steiner point of p-parallel classes is proposed. |
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| Keywords: | p-parallel body class of p-parallel bodies p-Steiner point |
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