Mean projection and section radii of convex bodies

DOI10.1007/s10474-018-0801-3zbMath1413.52004OpenAlexW2793140736MaRDI QIDQ722357

E. Saorin Gómez, Judit Abardia-Evéquoz, María A. Hernández Cifre

Publication date: 23 July 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0801-3

zbMATH Keywords

volumeprojectiondiameterconvex bodysectionquermassintegralmean widthmean inner radiusmean outer radius

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 (1)

Additive colourful Carathéodory type results with an application to radii

Cites Work

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• Successive radii and Minkowski addition
• Intrinsic volumes and successive radii
• Inner and outer \(j\)-radii of convex bodies in finite-dimensional normed spaces
• A generalization of Jung's theorem
• Dual mixed volumes
• Estimating sizes of a convex body by successive diameters and widths
• Convex and Discrete Geometry

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