| 受控与涉及旁径的n维单形不等式 |
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| 引用本文： | 朱杏华.受控与涉及旁径的n维单形不等式[J].宝鸡文理学院学报(自然科学版),2002,22(2):105-108,122. |
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| 作者姓名： | 朱杏华 |
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| 作者单位： | 盐城师范学院,数学系,江苏,盐城,224002 |
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| 摘 要： | 应用受控理论与方法研究单形, 给出了n维单形中旁切超球半径, 内切超球半径及高线长之间的若干受控关系, 简捷地建立了n维单形中涉及旁切超球半径的一系列新的几何不等式.所得旁切超球半径与内切超球半径的幂和系列不等式等是以往某些结果的推广与补充.
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| 关 键 词： | 受控 旁径 单形 几何不等式 |
| 文章编号： | 1008-4193(2002)02-0105-04 |
Majorization and inequalities of n-simplexconcerning radius of ex-sphere |
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| ZHU,Xing-hua.Majorization and inequalities of n-simplexconcerning radius of ex-sphere[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2002,22(2):105-108,122. |
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| Authors: | ZHU Xing-hua |
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| Abstract: | The properties of n simplex by applying the theory and method of majorization are discussed. Some relationships of majorization among the radius of escribed sphere, inradius and the length of altitude in n simplex are given. A series of new inequalities of an n simplex concerning the radius of escribed sphere are established succinctly and quickly. Furthermore, some former results (for example, a series of power sum inequalities between the radius of escribed sphere and inradius, etc.) are improved and supplemented. |
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| Keywords: | majorization radius of ex sphere n simplex geometric inequality |
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