Jung's theorem for a pair of Minkowski spaces

DOI10.1515/ADVGEOM.2006.037zbMath1151.52006MaRDI QIDQ5440749

Vladimir G. Boltyanski, Horst Martini

Publication date: 5 February 2008

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

Minkowski spacenormed linear spaceJung's theoremH-convexitydirect vector sumtwo metrics

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (6)

SHARPENING GEOMETRIC INEQUALITIES USING COMPUTABLE SYMMETRY MEASURES ⋮ Minimal enclosing discs, circumcircles, and circumcenters in normed planes. I. ⋮ Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. ⋮ Helly’s theorem: New variations and applications ⋮ On the families of successive radii and the sum of convex sets ⋮ The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant

Cites Work

• Convex regions and projections in Minkowski spaces

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