On Blaschke's extension of Bonnesen's inequality

DOI10.1007/BF01264078zbMath0787.52004MaRDI QIDQ1312319

Carla Peri, Andreana Zucco, Jörg M. Wills

Publication date: 26 May 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

mixed areaBonnesen's inequalityouter radiusrelative inner radius

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (6)

THE GREEN–OSHER INEQUALITY IN RELATIVE GEOMETRY ⋮ Bonnesen-style inequalities and pseudo-perimeters for polygons ⋮ Sharp quantitative isoperimetric inequalities in the 𝐿¹ Minkowski plane ⋮ Minimal properties for convex annuli of plane convex curves ⋮ Minimal shells containing a convex surface in Minkowski space ⋮ On the Minimal Annulus of Triangles and Parallelograms

Cites Work

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• Integral representations of quermass-integrals and Bonnesen-Style inequalities
• The generic contact of convex bodies with circumscribed homothets of a convex surface
• Isoperimetric inequalities for the mixed area of plane convex sets
• On the minimal convex annulus of a planar convex body
• Pseudo-Minkowski differential geometry
• Bonnesen-Style Inequalities for Minkowski Relative Geometry
• Bonnesen-Style Isoperimetric Inequalities
• On the Minimal Convex Shell of a Convex Body
• A Proof of Minkowski's Inequality for Convex Curves

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