| Title:
|
The isoperimetric inequality for a pentagon in $E_3 $ and its generalization in $E\sb n $space (English) |
| Author:
|
Kočandrlová, Milada |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
107 |
| Issue:
|
2 |
| Year:
|
1982 |
| Pages:
|
167-174 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52A40 |
| idZBL:
|
Zbl 0496.52009 |
| idMR:
|
MR659747 |
| DOI:
|
10.21136/CPM.1982.118118 |
| . |
| Date available:
|
2009-09-23T09:14:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118118 |
| . |
| Reference:
|
[1] E. Egervary: On the smallest convex cover of a simple arc of space-curve.Publ. math., Debrecen, I (1949), 65-70. Zbl 0038.10201, MR 0036021 |
| Reference:
|
[2] M. G. Krein A. A. Nudeľman: Problem of the Мarkovian moments and the extremum problems.(Russian), Moscow (1973), 137-148. |
| Reference:
|
[3] Z. A. Melzak: The isoperimetric problem of the convex hull of a closed space curve.Proc. Аmer. Math. Soc. II (1960), 265-274. Zbl 0129.37401, MR 0116263 |
| Reference:
|
[4] Z. A. Melzak: Existence of periodic solutions.Communic. on pure and appl. math. 20 (1967), 771-774. Zbl 0168.34004, MR 0214865 |
| Reference:
|
[5] Z. A. Melzak: Numerical evaluation of an isoperimetric constant.Math. of computation, 22, No 101 (1968), 188-190. Zbl 0157.52602, MR 0223976 |
| Reference:
|
[6] A. A. Nudeľman: Isoperimetric problems for the convex hulls of polygonal lines and curves in higher-dimensional spaces.(Russian), Math. sb., (N.S) 96 (138) (1973), 294-313, 344. MR 0375090 |
| Reference:
|
[7] I. J. Schoenberg: Аn isoperimetric inequality for closed curves convex in even dimensional Euclidean spaces.Аcta Math., 91 (1954), 143-164. MR 0065944 |
| . |
