Some inequalities for chord power integrals of parallelotopes

DOI10.1007/s00605-016-0888-yzbMath1355.52004OpenAlexW2289468624MaRDI QIDQ344219

Lothar Heinrich

Publication date: 22 November 2016

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

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/files/3174/mpreprint_15_007.pdf

zbMATH Keywords

Laplace transformSchur-convexityCarleman's inequalitymean breadthPfiefer-type inequalityPoisson hyperplane processesSchur-criterion

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (1)

Intersections of Poisson \(k\)-flats in constant curvature spaces

Cites Work

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• Inequalities for moments of secant length
• INEQUALITIES FOR CHORD POWER INTEGRALS
• Stochastic and Integral Geometry
• Schur-convex functions and isoperimetric inequalities
• Electromagnetic wave propagation and inequalities for moments of chord lengths
• Second-Order Theory for Iteration Stable Tessellations
• Particle and Particle Systems Characterization
• Moments and Central Limit Theorems for Some Multivariate Poisson Functionals
• Inequalities: theory of majorization and its applications

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