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| 常曲率平面上的逆Bonnesen型不等式 | |
| 引用本文： | 徐文学,畅敏. 常曲率平面上的逆Bonnesen型不等式[J]. 数学学报, 1936, 63(4): 309-318 |
| 作者姓名： | 徐文学 畅敏 |
| 作者单位： | 西南大学数学与统计学院 重庆 400715 |
| 基金项目： | 重庆市基础研究与前沿探索项目（cstc2016jcyjA0465）；中央高校基本科研业务费专项资金资助项目（XDJK2020C053） |
| 摘 要： | 利用积分几何中估计包含测度的思想给出常曲率平面上一些新的逆Bonnesen型不等式.这些不等式在欧氏平面上为著名的Bottema不等式的改进形式与新的逆Bonnesen型不等式. |
Reverse Bonnesen-type Inequalities for a Surface of Constant Curvature |
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| Wen Xue XU,Min CHANG. Reverse Bonnesen-type Inequalities for a Surface of Constant Curvature[J]. Acta Mathematica Sinica, 1936, 63(4): 309-318 | |
| Authors: | Wen Xue XU Min CHANG |
| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China |
| Abstract: | We obtain new reverse Bonnesen-type inequalities for a surface of constant curvature by estimating the containment measure in integral geometry. These inequalities are generalizations and improvements of known Bottema inequality and new reverse Bonnesen-type inequalities in the Euclidean plane. |
| Keywords: | isoperimetric deficit isoperimetric inequality Bonnesen-type inequality reverse Bonnesen-type inequality containment measure |
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