| Title:
|
Isoperimetrische Ungleichung für geschlossene Raumsechsecke (German) |
| Title:
|
An isoperimetric equation for closed space sexagon (English) |
| Author:
|
Kočandrlová, Milada |
| Language:
|
German |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
108 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
248-257 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52A40 |
| idZBL:
|
Zbl 0531.52004 |
| idMR:
|
MR716409 |
| DOI:
|
10.21136/CPM.1983.118172 |
| . |
| Date available:
|
2009-09-23T09:21:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118172 |
| . |
| Reference:
|
[1] T. Bonnesen W. Fenchel: Theorie der konvexen Körper.Berlin 1934. |
| Reference:
|
[2] E. Egervary: On the smallest convex cover of a simple arc of space-curve.Publ. Math. Debrecen 1 (1949), 65-70. Zbl 0038.10201, MR 0036021 |
| Reference:
|
[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 |
| Reference:
|
[4] M. Kočandrlová: Klassifikation konvexer Polyeder.Čas. pěst. mat. 108 (1983), 241-247. MR 0716408 |
| Reference:
|
[5] M. Г. Kpeйн A. A. Hydeльман: Проблема моментов Маркова и экстремальные задачи.Mocква 1973. |
| Reference:
|
[6] Z. A. Melzak: The isoperimetric problem of the convex hull of a closed space curve.Proc. Amer. Math. Soc. II (1960), 265-274. Zbl 0129.37401, MR 0116263 |
| Reference:
|
[7] Z. A. Melzak: Existence of Periodic Solutions.Comm. on pure and appl. mat. 20 (1967), 771-774. Zbl 0168.34004, MR 0214865 |
| Reference:
|
[8] Z. A. Melzak: Numerical evaluation of an isoperimetric constant.Math, of Computation 22, 701 (1968), 188-190. Zbl 0157.52602, MR 0223976 |
| Reference:
|
[9] B. Míšek: Über (n + 1)-Ecke in En mit maximalen Volumen der konvexen Hülle.(Tschechisch). Čas. pěst. mat. 84 (1959), 99-104. |
| Reference:
|
[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 |
| Reference:
|
[11] I. J. Schoenberg: An isoperimetric inequality for closed curves convex in even dimensional Euclidean Spaces.Acta Math. 91 (1954), 143-164. Zbl 0056.15705, MR 0065944 |
| . |
