Chebyshev centers, \(\epsilon\)-Chebyshev centers and the Hausdorff metric

DOI10.1007/BF01173706zbMath0675.41042MaRDI QIDQ1122077

Jiaping Wang, Xin-Tai Yu

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155372

zbMATH Keywords

Hausdorff distanceChebyshev centersChebyshev radiiconvexity moduluLipschitz stability of \(\epsilon\)-Chebyshev centersp-uniformly convex

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Lipschitz continuity of best approximations and Chebyshev centers ⋮ Chebyshev centres, Jung constants, and their applications ⋮ Perturbation of sets and centers

Cites Work

• Unnamed Item
• On the uniform convexity of \(L^p\) and \(l^p\)
• A note on Approximation of bounded sets
• Approximation by certain subspaces in the Banach space of continuous vector-valued functions
• Approximation of bounded sets
• Centers and Nearest Points of Sets

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