Inequalities for moments of secant length

DOI10.1007/BF00531779zbMath0558.60015MaRDI QIDQ3223605

Pamela J. Davy

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

convex bodyrandom secantinvariant measure of lines

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Some inequalities for chord power integrals of parallelotopes ⋮ Characterization of balls by generalized Riesz energy ⋮ Electromagnetic wave propagation and inequalities for moments of chord lengths

Cites Work

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• On the average size of polytopes in a convex set
• On some mean values associated with a randomly selected simplex in a convex set
• Probability models for liberation
• Random paths through a convex region
• Random secants of a convex body

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