Geodesic
The isoperimetric inequality for a pentagon in $E_3 $ and its generalization in $E\sb n $space
Časopis pro pěstování matematiky, Tome 107 (1982) no. 2, pp. 167-174

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1982.118118
Classification : 52A40 
Kočandrlová, Milada. The isoperimetric inequality for a pentagon in $E_3 $ and its generalization in $E\sb n $space. Časopis pro pěstování matematiky, Tome 107 (1982) no. 2, pp. 167-174. doi: 10.21136/CPM.1982.118118
@article{10_21136_CPM_1982_118118,
     author = {Ko\v{c}andrlov\'a, Milada},
     title = {The isoperimetric inequality for a pentagon in $E_3 $ and its generalization in $E\sb n $space},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {167--174},
     year = {1982},
     volume = {107},
     number = {2},
     doi = {10.21136/CPM.1982.118118},
     mrnumber = {659747},
     zbl = {0496.52009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1982.118118/}
}
TY  - JOUR
AU  - Kočandrlová, Milada
TI  - The isoperimetric inequality for a pentagon in $E_3 $ and its generalization in $E\sb n $space
JO  - Časopis pro pěstování matematiky
PY  - 1982
SP  - 167
EP  - 174
VL  - 107
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1982.118118/
DO  - 10.21136/CPM.1982.118118
LA  - en
ID  - 10_21136_CPM_1982_118118
ER  - 
%0 Journal Article
%A Kočandrlová, Milada
%T The isoperimetric inequality for a pentagon in $E_3 $ and its generalization in $E\sb n $space
%J Časopis pro pěstování matematiky
%D 1982
%P 167-174
%V 107
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1982.118118/
%R 10.21136/CPM.1982.118118
%G en
%F 10_21136_CPM_1982_118118

[1] E. Egervary: On the smallest convex cover of a simple arc of space-curve. Publ. math., Debrecen, I (1949), 65-70. | MR | Zbl

[2] M. G. Krein A. A. Nudeľman: Problem of the Мarkovian moments and the extremum problems. (Russian), Moscow (1973), 137-148.

[3] Z. A. Melzak: The isoperimetric problem of the convex hull of a closed space curve. Proc. Аmer. Math. Soc. II (1960), 265-274. | MR | Zbl

[4] Z. A. Melzak: Existence of periodic solutions. Communic. on pure and appl. math. 20 (1967), 771-774. | MR | Zbl

[5] Z. A. Melzak: Numerical evaluation of an isoperimetric constant. Math. of computation, 22, No 101 (1968), 188-190. | MR | Zbl

[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

[7] I. J. Schoenberg: Аn isoperimetric inequality for closed curves convex in even dimensional Euclidean spaces. Аcta Math., 91 (1954), 143-164. | MR

Cité par Sources :