| 双参数Bokov不等式的高维推广及类似 |
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| 引用本文： | 吴善和. 双参数Bokov不等式的高维推广及类似[J]. 四川师范大学学报(自然科学版), 2005, 28(6): 674-676 |
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| 作者姓名： | 吴善和 |
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| 作者单位： | 龙岩学院,数学系,福建,龙岩,364012 |
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| 基金项目： | 国家自然科学基金（10271071）和福建省教育厅科技基金资助项目 |
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| 摘 要： | 建立了一个涉及单形旁切球半径与内切球半径的新不等式,其形式上类似于Bokov不等式.由于新不等式中含参数,故其蕴涵了许多关于单形的几何不等式,其特殊情形又可推导出一大批关于三角形和四面体的几何不等式.
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| 关 键 词： | Bokov不等式 单形 内切球半径 旁切球半径 推广 |
| 文章编号： | 1001-8395（2005）06-0674-03 |
| 收稿时间： | 2004-12-25 |
| 修稿时间： | 2004-12-25 |
On High-dimension Generalization and Analogue of Bokov's Inequality with Two-parameters |
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| WU Shan-he. On High-dimension Generalization and Analogue of Bokov's Inequality with Two-parameters[J]. Journal of Sichuan Normal University(Natural Science), 2005, 28(6): 674-676 |
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| Authors: | WU Shan-he |
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| Affiliation: | Department of Mathematics, Longyan College, Longyan 364012, Fujian |
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| Abstract: | Some analogous inequalities involving the inradius and the radii of escribed sphere of a simplex are established.Our results unify a number of known geometric inequalities for simplex.As consequences,various inequalities concerning the triangles or tetrahedrons are derived. |
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| Keywords: | Bokov's inequality Simplex Inradius Radii of escribed sphere Generalization |
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