1 |
Zhang X M . Bonnesen-style inequalities and pseudo-perimeters for polygon. J of Geometry, 1997, 60, 188- 201
doi: 10.1007/BF01252226
|
2 |
周家足, 任德麟. 从积分几何观点看几何不等式. 数学物理学报, 2010, 30 (5): 1322- 1399
|
|
Zhou J Z , Ren D L . Geometric inequalities from integral geometry point of view. Acta Math Sci, 2010, 30 (5): 1322- 1399
|
3 |
Zhu B C , Li N , Zhou J Z . Isoperimetric inequalities for $Lp$ Geominimal surface area. Glasgow Math J, 2011, 53, 717- 726
doi: 10.1017/S0017089511000292
|
4 |
Zhu B C , Xu W X . Reverse Bonnesen-style inequalities on surfaces of constant curvature. Int J Math, 2018, 29 (6): 1850040
doi: 10.1142/S0129167X18500404
|
5 |
Xu W X , Zhou J Z , Zhu B C . On Bonnesen-type inequalities for a surface of constant curvature. Proc Amer Math Soc, 2015, 143, 4925- 4935
doi: 10.1090/proc/12657
|
6 |
Santaló L A . Integral Geometry and Geometric Probability. Boston: Addison Wesley Publishing Company, 1976
|
7 |
Osserman R . Bonnesen-style isoperimetric inequality. Amer Math Monthly, 1979, 65, 22- 28
|
8 |
周家足. 平面Bonnesen型不等式. 数学学报, 2007, 50 (6): 1397- 1402
doi: 10.3321/j.issn:0583-1431.2007.06.023
|
|
Zhou J Z . Plane Bonnesen type inequality. Acta Mathematica Sinica, 2007, 50 (6): 1397- 1402
doi: 10.3321/j.issn:0583-1431.2007.06.023
|
9 |
任德麟. 积分几何引论. 上海: 上海科学技术出版社, 1988
|
|
Ren D L . Introduction to Integral Geometry. Shanghai: Shanghai Scientific and Technical Publishers, 1988
|
10 |
曾春娜, 周家足, 岳双珊. 两平面凸域的对称混合等周不等式. 数学学报, 2012, 55, 1- 8
|
|
Zeng C N , Zhou J Z , Yue S S . The symmetric mixed isoperimetric inequality of two planar convex domains. Acta Mathematica Sinica, 2012, 55, 1- 8
|
11 |
Zeng C N , Ma L , Zhou J Z , Chen F W . The Bonnesen isoperimetri inequality in a surface of constant curvature. Science China Mathematics, 2012, 55, 1913- 1919
doi: 10.1007/s11425-012-4405-z
|
12 |
Wang Y Y , Wang X X , Zeng C N . On Bonnesen-style symmetric mixed isohomothetic inequality in $\mathbb{R}^2$. Acta Mathematica Scientia, 2019, 39B (5): 1319- 1329
|
13 |
Zhang G Y . Geometric inequalities and inclusion measures of convex bodies. Mathematika, 1944, 4, 95- 116
|
14 |
马磊, 戴勇. 关于四面体的Bonnesen型等周不等式. 数学的实践与认识, 2013, 43, 232- 235
|
|
Ma L , Dai Y . On the Bonnesen-type Isoperimetric inequality for the tetrahedral. Mathematics in Practice and Theory, 2013, 43, 232- 235
|
15 |
卡扎里诺夫. 几何不等式. 北京: 北京大学出版社, 1986
|
|
Kazarinov N D . Geometric Inequalities. Beijing: Peking University Press, 1986
|
16 |
匡继昌. 常用不等式. 山东: 山东科学技术出版社, 2004
|
|
Kuang J C . Applied Inequalities. Shandong: Shandong Science and Technology Press, 2004
|
17 |
Buragoy D , Zalgaller V A . Geometric Inequalities. Berlin: Springer-Verlag, 1988
|
18 |
朱保成, 徐文学. 内平行体的均质积分. 中国科学(数学), 2016, 46 (6): 807- 816
|
|
Zhu B C , Xu W X . On the ith quermassintegral of inner parallel bodies. Chinese Science Mathematics, 2016, 46 (6): 807- 816
|