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| 摘要: |
| 本文探索了关于平面凸多边形的Bonnesen型不等式.利用分析方法,先构造一个解析函数的不等式,进而得到了一个关于平面凸多边形的Bonnesen型不等式. |
| 关键词: 等周不等式 平面多边形 外接圆 内切圆 Bonnesen 型不等式 |
| DOI： |
| 分类号:O168.5 |
| 基金项目:重庆市教委科学技术研究项目基金资助(KJ130614);广州石油化工学院高州师范学院教育科学十二五规划项目(2013GST01). |
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| A BONNESEN-STYLE INEQUALITY FOR THE PLANAR CONVEX POLYGON |
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MA Lei
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| Abstract: |
| In this paper, we investigate the Bonnesen-type isoperimetric inequalities for the planar convex polygon. By analytical methods, we first construct an analytic function of inequality. Then a new Bonnesen-style inequality for planar polygon is obtained. |
| Key words: the isoperimetric inequality plane polygon circumscribed circle inscribed circle the Bonnesen-style inequality |
