Eine Beschreibung der Nichteindeutigkeitsmenge für die beste Approximation in der Euklidischen Ebene. (A description of the nonuniqueness set for the best approximation in the Euclidean plane)

DOI10.1016/0021-9045(86)90046-8zbMath0619.41020OpenAlexW1993162697MaRDI QIDQ1089548

Klaus Bartke, Hubert Berens

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90046-8

zbMATH Keywords

metric projection

Mathematics Subject Classification ID

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

Related Items (6)

Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space ⋮ Densely connected ambiguous loci of the metric projection in Hilbert spaces ⋮ Unnamed Item ⋮ Unbounded components of the singular set of the distance function in $\mathbb R^n$ ⋮ Farthest points and monotone operators ⋮ Ambiguous loci of the nearest point mapping in Banach spaces

Cites Work

• Convex functions and upper semi-continuous collections
• Curvature Measures
• Trees are Contractible
• A Motzkin-Type Theorem for Closed Nonconvex Sets
• Cebysev Sets in Hilbert Space
• A Note on Dendrites and Trees
• Some remarks on the measurability of certain sets
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