On the Sobolev distance of convex bodies

DOI10.1007/BF01834206zbMath0850.52002OpenAlexW2095224239MaRDI QIDQ1195607

Randolf Arnold, Andreas Wellerding

Publication date: 6 January 1993

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137481

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Inner products for Convex Bodies

Cites Work

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• Extensions of an inequality of Bonnesen to d-dimensional space and curvature conditions for convex bodies
• Zur \(L^ 2\) Bestapproximation eines konvexen Körpers durch einen bewegten konvexen Körper. (On the \(L^ 2\)-best approximation of a convex body by a moved convex body)
• \(L_p\) metrics for compact convex sets
• Polygonal approximation of plane convex bodies
• Stützbare Bereiche, trigonometrische Polynome und Defizite höherer Ordnung
• Evaluation of the Least Constant in Sobolev’s Inequality for $H^1 (0,s)$
• Stability Results for First Order Projection Bodies
• Stability in the Isoperimetric Problem
• Stability in the Aleksandrov‐Fenchel‐Jessen Theorem
• Metrics for sets of convex bodies

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