aequationes mathematicae

, Volume 32, Issue 1, pp 304–310 | Cite as

Approximation of convex bodies by random polytopes

  • Rolf Schneider
Research Papers

AMS (1980) subject classification

Primary 52A22 Secondary 60D05 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Buchta, C.,Stochastische Approximation konvexer Polygone. Z. Wahrsch. Verw. Geb.67 (1984), 283–304.CrossRefMATHMathSciNetGoogle Scholar
  2. [2]
    Gruber, P.,In most cases approximation is irregular. Rend. Sem. Mat. Univ. Politec. Torino41 (1983), 19–33.MATHMathSciNetGoogle Scholar
  3. [3]
    Rényi, A. andSulanke, R.,Über die konvexe Hülle von nzufällig gewählten Punkten II. Z. Wahrsch. Verw. Geb.3 (1964), 138–147.CrossRefGoogle Scholar
  4. [4]
    Schneider, R.,Boundary structure and curvature of convex bodies. In:Contributions to Geometry, (Eds. J. Tölke and J. M. Wills). Birkhäuser, Basel, Boston, Stuttgart 1979, pp. 13–59.Google Scholar
  5. [5]
    Schneider, R. andWieacker J. A.,Random polytopes in a convex body. Z. Wahrsch. Verw. Geb.52 (1980), 69–73.CrossRefMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Verlag 1987

Authors and Affiliations

  • Rolf Schneider
    • 1
  1. 1.Mathematisches InstitutAlbert-Ludwigs-UniversitätFreiburg i. Br.West Germany

Personalised recommendations