Error of asymptotic formulae for volume approximation of convex bodies in \({\mathbb E}^d\)

DOI10.1007/S006050200023zbMath1006.52002OpenAlexW2058101030MaRDI QIDQ1606061

Peter M. Gruber

Publication date: 29 July 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050200023

zbMATH Keywords

isoperimetric problemsvolume approximationMinkowski geometryasymptotic formulae

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Affine differential geometry (53A15)

Related Items (7)

Optimum quantization and its applications ⋮ Sharp asymptotics of the \(L_p\) approximation error for interpolation on block partitions ⋮ Efficient construction of multi-block volumetric spline parameterization by discrete mask method ⋮ Exact asymptotics of the uniform error of interpolation by multilinear splines ⋮ Approximation of convex functions by projections of polyhedra ⋮ Approximation of convex sets by polytopes ⋮ Approximation of smooth convex bodies by circumscribed polytopes with respect to the surface area

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