On the mean value of the volume of a random polytope in a convex set-Reference-Cited by-同舟云学术

On the mean value of the volume of a random polytope in a convex set

Published:1974-12 Issue:1 Volume:25 Page:86-90
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math

Author:

Groemer H.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01238645.pdf

Reference12 articles.

1. W. Blaschke, �ber affine Geometrie XI: L�sung des ?Vierpunktproblems? von Sylvester aus der Theorie der geometrischen Wahrscheinlichkeiten. Ber. Verh. s�chs. Akad. Leipzig69, 436?453 (1917).

2. W.Blaschke, Vorlesungen �ber Differentialgeometrie II: Affine Differentialgeometrie. Berlin 1923.

3. T.Bonnesen und W.Fenchel, Theorie der konvexen K�rper. Berlin 1934.

4. L. Danzer, D. Laugwitz undH. Lenz, �ber das L�wnersche Ellipsoid und sein Analogon unter den einem Eik�rper einbeschriebenen Ellipsoiden. Arch. Math.8, 214?219 (1957).

5. H. Groemer, On some mean values associated with a randomly selected simplex in a convex set. Pacific J. Math.45, 525?533 (1973).

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