| 再谈n维单形中的A.M.Nesbitt不等式 |
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| 引用本文： | 周永国.再谈n维单形中的A.M.Nesbitt不等式[J].怀化学院学报,2010,29(11). |
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| 作者姓名： | 周永国 |
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| 基金项目： | 湖南省教育厅科学研究项目 |
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| 摘 要： | 将n维单形中的"面型"和"线型"的A.M.Nesbitt不等式作了进一步的指数推广.作为其应用,获得了涉及单形内切超球半径和旁切超球半径的一个几何不等式.
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| 关 键 词： | n维单形 Nesbitt不等式 超球半径 |
Further Discussion on A.M.Nesbitt Inequality in N-dimensional Simplex |
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| ZHOU Yong-guo.Further Discussion on A.M.Nesbitt Inequality in N-dimensional Simplex[J].Journal of Huaihua University,2010,29(11). |
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| Authors: | ZHOU Yong-guo |
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| Abstract: | This paper made a further index number promotion of A.M.Nesbitt inequality of the area type and the line type in n-dimensional simplex.As their applications,we got several geometric inequalities concerning the radius of inscribed hypersphere and the radius of the escribed hypersphere of the simplex. |
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| Keywords: | n-dimensional simplex A M Nesbitt inequality radius |
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