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Banach-Mazur distance between convex quadrangles

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Publication:488840
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DOI10.2478/dema-2014-0079zbMath1321.52007OpenAlexW2009032271MaRDI QIDQ488840

Marek Lassak

Publication date: 26 January 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/dema-2014-0079


zbMATH Keywords

triangleparallelogramconvex bodyBanach-Mazur distanceconvex quadrangle


Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

EXTREMAL BANACH–MAZUR DISTANCE BETWEEN A SYMMETRIC CONVEX BODY AND AN ARBITRARY CONVEX BODY ON THE PLANE



Cites Work

  • Diameter of the Minkowski compactum is approximately equal to n
  • Banach-Mazur distance of planar convex bodies
  • The maximum distance between two-dimensional Banach spaces.
  • Approximation of Convex Bodies by Triangles
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