scientific article; zbMATH DE number 7151638

zbMath1441.46012MaRDI QIDQ5208216

Evgeny V. Shchepin, Alexey R. Alimov

Publication date: 15 January 2020

Full work available at URL: http://www.heldermann.de/JCA/JCA26/JCA264/jca26058.htm#jca263

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zbMATH Keywords

Chebyshev setdirectional convexitysun

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Finite-dimensional spaces where the class of Chebyshev sets coincides with the class of closed and monotone path-connected sets ⋮ Monotone path-connectedness of strict suns ⋮ Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm ⋮ Monotone path-connectedness of Chebyshev sets in three-dimensional spaces

Cites Work

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• Singular sets of surfaces
• Locally Chebyshev sets on the plane
• Sets with at most two-valued metric projection on a normed plane
• Connectedness and solarity in problems of best and near-best approximation
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Convexity of Chebyshev sets with respect to tangent directions
• Weakly convex and proximally smooth sets in Banach spaces

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