Strong uniqueness and alternation theorems for relative Chebyshev centers

DOI10.1016/j.jat.2023.105917zbMath1528.41041OpenAlexW4378528805WikidataQ123201493 ScholiaQ123201493MaRDI QIDQ6165575

Fabián E. Levis, L. Zabala, Claudia V. Ridolfi

Publication date: 1 August 2023

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

Full work available at URL: https://doi.org/10.1016/j.jat.2023.105917

zbMATH Keywords

simultaneous approximationChebyshev systemsChebyshev spacerelative Chebyshev center

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Simultaneous approximation (41A28) Approximation by arbitrary linear expressions (41A45)

Cites Work

• Relative Chebyshev centers in normed linear spaces. II
• Simultaneous approximation of a uniformly bounded set of real valued functions
• Necessary conditions for uniqueness in \(L^ 1\)-approximation
• Weak Chebyshev subspaces and alternation
• Uniqueness in vector-valued approximation
• Strongly unique best approximations and centers in uniformly convex spaces
• The Chebyshev centers in a normed linear space
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Strong uniqueness of the restricted Chebyshev center with respect to an RS-set in a Banach space
• Strong Uniqueness
• On Best Simultaneous Approximation in Normed Linear Spaces
• On simultaneous approximation
• Strong unicity versus modulus of convexity
• Chebyshev centres, Jung constants, and their applications
• Restricted p-Centers for Sets in Real Locally Convex Spaces
• A characterization of best simultaneous approximations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Strong uniqueness and alternation theorems for relative Chebyshev centers