A class of best simultaneous approximation problems

DOI10.1016/0898-1221(96)00051-XzbMath0863.41012OpenAlexW1996520989MaRDI QIDQ1921230

Chong Li, G. Alistair Watson

Publication date: 11 August 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00051-x

Mathematics Subject Classification ID

Simultaneous approximation (41A28)

Related Items

On solutions of a class of best simultaneous approximation problems ⋮ On nonlinear simultaneous approximation problems ⋮ On nonlinear simultaneous Chebyshev approximation problems. ⋮ Best simultaneous approximation of an infinite set of functions ⋮ Best simultaneous approximation to totally bounded sequences in Banach spaces ⋮ Nonlinear weighted best simultaneous approximation in Banach spaces ⋮ Uniqueness of simultaneous approximations in continuous function spaces ⋮ Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\) ⋮ Existence of best simultaneous approximations in \(L_p(S,\Sigma,X)\) without the RNP assumption ⋮ Chebyshev centres, Jung constants, and their applications ⋮ New characterization for nonlinear weighted best simultaneous approximation ⋮ Strong uniqueness of the restricted Chebyshev center with respect to an RS-set in a Banach space ⋮ On best approximations from \(RS\)-sets in complex Banach spaces

Cites Work

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• A unified theory of strong uniqueness in uniform approximation with constraints
• Uniqueness of best simultaneous approximation and strictly interpolating subspaces
• Absolute and monotonic norms
• Global approximation with bounded coefficients
• Uniqueness in vector-valued approximation
• Simultaneous approximation from convex sets
• A characterization of best simultaneous approximations
• A characterization of best simultaneous approximations

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