On restricted centers of sets

DOI10.1016/0021-9045(91)90119-UzbMath0738.41022OpenAlexW2071411818MaRDI QIDQ1176141

P. T. Nowroji, Devidas Pai

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90119-u

zbMATH Keywords

continuous selectionChebyshev radiusbest simultaneous approximationrestricted center

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Best approximation, Chebyshev systems (41A50) Simultaneous approximation (41A28) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (16)

Almost Chebyshev set with respect to bounded subsets ⋮ On Property- and Relative Chebyshev Centres in Banach Spaces ⋮ Some geometrical characterizations of $L_1$-predual spaces ⋮ Optimal design of sensors via geometric criteria ⋮ Strong Unicity of Restrictedp-Centers ⋮ Topologies related to the prox map and the restricted center map ⋮ Chebyshev centers and some geometric properties of Banach spaces ⋮ Various notions of best approximation property in spaces of Bochner integrable functions ⋮ Unnamed Item ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Lipschitz continuity of best approximations and Chebyshev centers ⋮ On generic well-posedness of restricted Chebyshev center problems in Banach spaces ⋮ Some geometric properties of relative Chebyshev centres in Banach spaces ⋮ Restricted p-Centers for Sets in Real Locally Convex Spaces ⋮ Chebyshev centres, Jung constants, and their applications ⋮ Perturbation of sets and centers

Cites Work

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• Conditional Chebyshev center of a bounded set of continuous functions
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• Structure in real Banach spaces. I and II
• Existence of Chebyshev Centers, Best n-Nets and Best Compact Approximants
• Restricted Centers in C(Ω)
• Extension of compact operators
• The best possible net and the best possible cross-section of a set in a normed space
• Grothendieck spaces in approximation theory

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