The Hausdorff metric and Cebysev centres

DOI10.1016/0021-9045(80)90071-4zbMath0461.41022OpenAlexW2094163962MaRDI QIDQ1152539

Lee L. Keener, Jonathan M. Borwein

Publication date: 1980

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90071-4

zbMATH Keywords

Hausdorff metricHilbert spaceChebyshev center

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (10)

A framework for best simultaneous approximation: normed almost linear spaces ⋮ Some characteristic and non-characteristic properties of inner product spaces ⋮ On characterization of Euclidean spaces ⋮ Approximation error for linear polynomial interpolation on \(n\)-simplices ⋮ Centers and Nearest Points of Sets ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ Chebyshev centres, Jung constants, and their applications ⋮ Rendezvous numbers in normed spaces ⋮ Convex Sets and Polygons ⋮ Chebyshev centers in normed spaces

Cites Work

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• The rectangular constant for two-dimensional spaces
• Caractérisations d'espaces hilbertiens au moyen de la constante rectangle
• A characterization of euclidean spaces
• Orthogonality in normed linear spaces

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