常曲率平面上的逆Bonnesen型不等式

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常曲率平面上的逆Bonnesen型不等式徐文学, 畅敏西南大学数学与统计学院重庆 400715 Reverse Bonnesen-type Inequalities for a Surface of Constant Curvature Wen Xue XU, Min CHANGSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China

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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.

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收稿日期: 2017-05-26

MR (2010):

O186.5

基金资助: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）

通讯作者:畅敏E-mail: lucy911cm@163.com

作者简介: 徐文学,E-mail:xwxjk@163.com

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, 2020, 63(4): 309-318. Wen Xue XU, Min CHANG. Reverse Bonnesen-type Inequalities for a Surface of Constant Curvature. Acta Mathematica Sinica, Chinese Series, 2020, 63(4): 309-318.

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