About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Kočandrlová, Milada
Isoperimetrische Ungleichung für geschlossene Raumsechsecke. (German) [An isoperimetric equation for closed space sexagon]. Časopis pro pěstování matematiky, vol. 108 (1983), issue 3, pp. 248-257
MSC: 52A40 | MR 716409 | Zbl 0531.52004 | DOI: 10.21136/CPM.1983.118172
References:
[1] T. Bonnesen W. Fenchel: Theorie der konvexen Körper. Berlin 1934.
[2] E. Egervary: On the smallest convex cover of a simple arc of space-curve. Publ. Math. Debrecen 1 (1949), 65-70. MR 0036021 | Zbl 0038.10201
[3] M. Kočandrlová: The Isoperimetric Inequality for a Pentagon in E3 and Its Generalization in En Space. Čas. pěst. mat. 107 (1982), 167-174. MR 0659747
[4] M. Kočandrlová: Klassifikation konvexer Polyeder. Čas. pěst. mat. 108 (1983), 241-247. MR 0716408
[5] M. Г. Kpeйн A. A. Hydeльман: Проблема моментов Маркова и экстремальные задачи. Mocква 1973.
[6] Z. A. Melzak: The isoperimetric problem of the convex hull of a closed space curve. Proc. Amer. Math. Soc. II (1960), 265-274. MR 0116263 | Zbl 0129.37401
[7] Z. A. Melzak: Existence of Periodic Solutions. Comm. on pure and appl. mat. 20 (1967), 771-774. MR 0214865 | Zbl 0168.34004
[8] Z. A. Melzak: Numerical evaluation of an isoperimetric constant. Math, of Computation 22, 701 (1968), 188-190. MR 0223976 | Zbl 0157.52602
[9] B. Míšek: Über (n + 1)-Ecke in En mit maximalen Volumen der konvexen Hülle. (Tschechisch). Čas. pěst. mat. 84 (1959), 99-104.
[10] A. A. Hyделман: Изопериметрические задаче для выпуклых оболочек ломаных и кривых в многомерных пространствах. Maт. c6. 96, 138, (1975), 2, 294-313. Zbl 0354.65003
[11] I. J. Schoenberg: An isoperimetric inequality for closed curves convex in even dimensional Euclidean Spaces. Acta Math. 91 (1954), 143-164. MR 0065944 | Zbl 0056.15705
Partner of
EuDML logo