Approximating the ball by a Minkowski sum of segments with equal length

DOI10.1007/BF02189313zbMath0770.52005MaRDI QIDQ1209836

Jean Bourgain, Joram Lindenstrauss

Publication date: 16 May 1993

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131239

zbMATH Keywords

approximationzonotopedimensional Euclidean ball

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27)

Related Items (6)

Practical Volume Estimation of Zonotopes by a New Annealing Schedule for Cooling Convex Bodies ⋮ Improved upper bounds for approximation by zonotopes ⋮ Multivariate quadrature rules on crosslet sparse grids ⋮ Isoperimetric problems for zonotopes ⋮ Projecting \(l_{\infty}\) onto classical spaces ⋮ Stochastic quasi-interpolation with Bernstein polynomials

Cites Work

• Distribution of points on spheres and approximation by zonotopes
• On a new method for constructing good point sets on spheres
• Approximation of zonoids by zonotopes
• Estimating the Sizes of Convex Bodies from Projections

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