scientific article; zbMATH DE number 6927791

zbMath1411.41021MaRDI QIDQ4583055

Grigorii E. Ivanov, Maxim V. Balashov

Publication date: 27 August 2018

Full work available at URL: http://www.heldermann.de/JCA/JCA25/JCA253/jca25065.htm#jca251

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zbMATH Keywords

distance functionmetric projectionmetric antiprojectionantidistance function

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

Estimates of the Chebyshev radius in terms of the MAX-metric function and the MAX-projection operator ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solarity of sets in max-approximation problems ⋮ Extending and paralleling Stechkin's category theorem

Cites Work

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• About the Lipschitz property of the metric projection in the Hilbert space
• Farthest points and strong convexity of sets
• Continuity properties of projection operators
• Farthest points in reflexive locally uniformly rotund Banach spaces
• Farthest points of sets in uniformly convex Banach spaces
• Sharp estimates for the moduli of continuity of metric projections onto weakly convex sets
• $ M$-strongly convex subsets and their generating sets
• Strong and Weak Convexity of Closed Sets in a Hilbert Space
• On farthest points of sets

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