On the families of successive radii and the sum of convex sets

DOI10.1007/s13366-013-0153-7zbMath1304.52006OpenAlexW1964918787MaRDI QIDQ464801

Bernardo González Merino

Publication date: 30 October 2014

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-013-0153-7

zbMATH Keywords

Minkowski additionprojection and sectionsuccessive radii

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

• Unnamed Item
• Unnamed Item
• 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
• A generalization of Steinhagen's theorem
• Radii of regular polytopes
• No dimension-independent core-sets for containment under homothetics
• Successive Minima and Radii
• Notes on Minkowski Geometry (I): Relations between the Circumradius, Diameter, Inradius and Minimal Width of a Convex Set
• Estimating sizes of a convex body by successive diameters and widths
• Jung's theorem for a pair of Minkowski spaces
• Radii minimal projections of polytopes and constrained optimization of symmetric polynomials

This page was built for publication: On the families of successive radii and the sum of convex sets