| 单形的径向平均体 |
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| 引用本文： | 熊革,倪建华.单形的径向平均体[J].数学杂志,2006,26(3):261-264. |
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| 作者姓名： | 熊革 倪建华 |
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| 作者单位： | 上海大学数学系,上海,200444 |
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| 基金项目： | Supported by the Youth Science Foundation of Shanghai(Grant NO.214511) |
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| 摘 要： | 本文研究了单形的p次径向平均体RpK,证明了单形的p次径向平均体位似于其差分体,得到了Rp(Rq)与Rq(Rp)是相等,并且单形的p次径向平均体的Brunn-Minkowski不等式及唯一性.
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| 关 键 词： | 凸体 径向平均体 单形 协方图 |
| 文章编号： | 0255-7797（2006）03-0261-04 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2004-10-08 |
RADIAL MEAN BODIES OF THE SIMPLEX |
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| XIONG Ge,NI Jian-hua.RADIAL MEAN BODIES OF THE SIMPLEX[J].Journal of Mathematics,2006,26(3):261-264. |
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| Authors: | XIONG Ge NI Jian-hua |
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| Institution: | Dept. of Math. , Shanghai University, Shanghai 200444, China |
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| Abstract: | In this paper,we prove that the radial p-th mean body R_(p)K is homothetic to the difference body DK when K is a simplex.Furthermore,we find out R_p(R_q) and R_q(R_p) are identical and prove the Brunn-Minkowski inequality of radial p-th mean body of simplex and its uniqueness. |
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| Keywords: | Convex body radial mean body simplex covariogram |
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