BANCHOFF T F, POHL W F. A Generalization of the Isoperimetric Inequality[J]. Journal of Differential Geometry, 1971, 6(2):175-192. doi: 10.4310/jdg/1214430403
|
BURAGO Y D, ZALGALLER V A. Geometric Inequalities[M]. Berlin:Springer-Verlag, 1988.
|
CROKE C B. A Sharp Four Dimensional Isoperimetric Inequality[J]. Commentarii Mathematici Helvetici, 1984, 59(1):187-192. doi: 10.1007/BF02566344
|
ENOMOTO K. A Generalization of the Isoperimetric Inequality on S2 and Flat Tori in S3[J]. Proceedings of the American Mathematical Society, 1994, 120(2):553-558.
|
GRINBER E L. Isoperimetric Inequalities and Identities for k-Dimensional Cross-Sections of Convex Bodies[J]. Mathematische Annalen, 1991, 291(1):75-86. doi: 10.1007/BF01445191
|
张增乐, 罗淼, 陈方维.平面上的新凸体与逆Bonnesen-型不等式[J].西南师范大学学报(自然科学版), 2015, 40(4):27-30.
|
GYSIN L M. The Isoperimetric Inequality for Nonsimple Closed Curves[J]. Proceedings of the American Mathematical Society, 1993, 118(1):197-203. doi: 10.1090/S0002-9939-1993-1079698-X
|
杨林, 罗淼, 侯林波.逆的对偶Brunn-Minkowski不等式[J].西南大学学报(自然科学版), 2016, 38(4):85-89.
|
HOWARD R. The Sharp Sobolev Inequality and the Banchoff-Pohl Inequality on Surfaces[J]. Proceedings of the American Mathematical Society, 1998, 126(9):2779-2787. doi: 10.1090/S0002-9939-98-04336-6
|
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(中文版), 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.
|
LUO M, XU W X, ZHOU J Z. Translative Containment Measure and Symmetric Mixed Isohomothetic Inequalities[J]. Science China Mathematics, 2015, 58(12):2593-2610. doi: 10.1007/s11425-015-5074-5
|