Simultaneous approximation of compact sets by elements of convex sets in normed linear spaces

DOI10.1016/0021-9045(74)90076-8zbMath0305.41018OpenAlexW2134164583MaRDI QIDQ1217289

Kim-Pin Lim

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-9045(74)90076-8

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (4)

On simultaneous weakly-Chebyshev subspaces ⋮ Necessary conditions for Pareto optimality in simultaneous Chebyshev best approximation ⋮ On simultaneous Chebyshev approximation ⋮ Simultaneous approximation of a function and its derivatives

Cites Work

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• Characterizability and uniqueness in real Chebyshev approximation
• Global approximation of a compact set by elements of a convex set in a normed space
• The Best Čebyšsev Approximation to a Function and Its Derivative on $n + 2$ Points
• Simultaneous Approximation of a Function and Its Derivatives
• Simultaneous Chebyshev Approximation of Functions on an Interval
• Simultaneous Approximation of a Set of Bounded Real Functions
• Chebyshev Approximations of a Function and Its Derivatives

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