An isoperimetric equation for closed space sexagon

Milada Kočandrlová

Časopis pro pěstování matematiky (1983)

  • Volume: 108, Issue: 3, page 248-257
  • ISSN: 0528-2195

How to cite

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Kočandrlová, Milada. "Isoperimetrische Ungleichung für geschlossene Raumsechsecke." Časopis pro pěstování matematiky 108.3 (1983): 248-257. <http://eudml.org/doc/21538>.

@article{Kočandrlová1983,
author = {Kočandrlová, Milada},
journal = {Časopis pro pěstování matematiky},
keywords = {isoperimetric inequality; space hexagon.},
language = {ger},
number = {3},
pages = {248-257},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Isoperimetrische Ungleichung für geschlossene Raumsechsecke},
url = {http://eudml.org/doc/21538},
volume = {108},
year = {1983},
}

TY - JOUR
AU - Kočandrlová, Milada
TI - Isoperimetrische Ungleichung für geschlossene Raumsechsecke
JO - Časopis pro pěstování matematiky
PY - 1983
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 108
IS - 3
SP - 248
EP - 257
LA - ger
KW - isoperimetric inequality; space hexagon.
UR - http://eudml.org/doc/21538
ER -

References

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  1. T. Bonnesen W. Fenchel, Theorie der konvexen Körper, Berlin 1934. (1934) 
  2. E. Egervary, On the smallest convex cover of a simple arc of space-curve, Publ. Math. Debrecen 1 (1949), 65-70. (1949) Zbl0038.10201MR0036021
  3. M. Kočandrlová, The Isoperimetric Inequality for a Pentagon in E3 and Its Generalization in En Space, Čas. pěst. mat. 107 (1982), 167-174. (1982) MR0659747
  4. M. Kočandrlová, Klassifikation konvexer Polyeder, Čas. pěst. mat. 108 (1983), 241-247. (1983) MR0716408
  5. M. Г. Kpeйн A. A. Hydeльман, Проблема моментов Маркова и экстремальные задачи, Mocква 1973. (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. (1960) Zbl0129.37401MR0116263
  7. Z. A. Melzak, Existence of Periodic Solutions, Comm. on pure and appl. mat. 20 (1967), 771-774. (1967) Zbl0168.34004MR0214865
  8. Z. A. Melzak, Numerical evaluation of an isoperimetric constant, Math, of Computation 22, 701 (1968), 188-190. (1968) Zbl0157.52602MR0223976
  9. B. Míšek, Über (n + 1)-Ecke in En mit maximalen Volumen der konvexen Hülle, (Tschechisch). Čas. pěst. mat. 84 (1959), 99-104. (1959) 
  10. A. A. Hyделман, Изопериметрические задаче для выпуклых оболочек ломаных и кривых в многомерных пространствах, Maт. c6. 96, 138, (1975), 2, 294-313. (1975) Zbl0354.65003
  11. I. J. Schoenberg, An isoperimetric inequality for closed curves convex in even dimensional Euclidean Spaces, Acta Math. 91 (1954), 143-164. (1954) Zbl0056.15705MR0065944

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