BLASCHKE W. Kreis und Kugel[M]. Leipzig: Verlag von Veit, 1916.
OSSERMAN R. Bonnesen-Style Isoperimetric Inequalities[J]. The American Mathematical Monthly, 1979, 86(1): 1-29. doi: 10.1080/00029890.1979.11994723
周家足. 平面Bonnesen型不等式[J]. 数学学报, 2007, 50(6): 1397-1402. doi: 10.3321/j.issn:0583-1431.2007.06.023
曾春娜, 周家足, 岳双珊. 两平面凸域的对称混合等周不等式[J]. 数学学报, 2012, 55(2): 355-362.
王鹏富, 徐文学, 周家足, 等. 平面两凸域的Bonnesen型对称混合不等式[J]. 中国科学: 数学, 2015, 45(3): 245-254.
ZENG C N, MA L, ZHOU J Z, et al. The Bonnesen Isoperimetric Inequality in a Surface of Constant Curvature[J]. Science China-Mathematics, 2012, 55(9): 1913-1919. doi: 10.1007/s11425-012-4405-z
XU W X, ZHOU J Z, ZHU B C. On Bonnesen-Type Inequalities for a Surface of Constant Curvature[J]. Proceedings of the American Mathematical Society, 2015, 143(11): 4925-4935. doi: 10.1090/proc/12657
马磊, 马芳, 周家足. 平面上非简单闭曲线的Bonnesen型不等式[J]. 西南师范大学学报(自然科学版), 2011, 36(3): 45-47.
ZHANG X M. A Refinement of the Discrete Wirtinger Inequality[J]. Journal of Mathematical Analysis and Applications, 1996, 200(3): 687-697. doi: 10.1006/jmaa.1996.0232
ZHANG X M. Bonnesen-Style Inequalities and Pseudo-Perimeters for Polygons[J]. Journal of Geometry, 1997, 60(1/2): 188-201. doi: 10.1007/BF01252226
QI J B, WANG W. Schur Convex Functions and the Bonnesen Style Isoperimetric Inequalities for Planar Convex Polygons[J]. Journal of Mathematical Inequalities, 2018, 12(1): 23-29.
SANTALÓ L A. Integral Geometry and Geometric Probability[M]. London: Addison-Wesley, 1976.
任德麟. 积分几何学引论[M]. 上海: 上海科学技术出版社, 1988.
张增乐. 关于单位速度外法向流下的几何不变量的注记[J]. 西南师范大学学报(自然科学版), 2021, 46(6): 47-51.
方建波. 平面凸曲线的一类熵不变流[J]. 西南大学学报(自然科学版), 2021, 43(10): 117-123.
SCHEEFFER L. Ueber die Bedeutung der Begriffe "Maximum und Minimum" in der Variationsrechnung[J]. Mathematische Annalen, 1886, 26(2): 197-208. doi: 10.1007/BF01444332
GREEN M, OSHER S. Steiner Polynomials, Wulff Flows, and Some New Isoperimetric Inequalities for Convex Plane Curves[J]. Asian Journal of Mathematics, 1999, 3(3): 659-676. doi: 10.4310/AJM.1999.v3.n3.a5