Gewichtete Volumsmittelwerte von Simplices, welche zufällig in einem konvexen Körper des \(R^n\) gewählt werden

DOI10.1007/BF01387909zbMath0383.52011OpenAlexW2334261460MaRDI QIDQ1248816

Peter Schoepf

Publication date: 1977

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177820

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

On a conjecture of R. E. Miles about the convex hull of random points ⋮ Inequalities for integral means over symmetric sets ⋮ Sylvester-Busemann type functionals with respect to Orlicz centroid bodies ⋮ Stochastische Approximation konvexer Polygone ⋮ Extremal convex sets for Sylvester–Busemann type functionals ⋮ Maximum and minimum sets for some geometric mean values

Cites Work

• Konkave Eikörperfunktionale und höhere Trägheitsmomente
• On the mean value of the volume of a random polytope in a convex set
• On some mean values associated with a randomly selected simplex in a convex set
• Random secants of a convex body