On best uniform restricted range approximation in complex-valued continuous function spaces.

DOI10.1016/S0021-9045(02)00012-6zbMath1128.41006OpenAlexW1990673514MaRDI QIDQ1867261

Chong Li

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9045(02)00012-6

zbMATH Keywords

uniqueness of best approximationbest approximationmodulus of convexitycompact Hausdorff spacerestricted range approximationKolmogorov-type characterization of best approximationstrong uniqueness of best approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items

Unnamed Item ⋮ Limit theory of restricted range approximations of complex-valued continuous functions ⋮ Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming ⋮ On best restricted range approximation in continuous complex-valued function spaces ⋮ On best approximations from \(RS\)-sets in complex Banach spaces

Cites Work

• Strongly unique best approximation in Banach spaces. II
• Best uniform approximation of complex-valued functions by generalized polynomials having restricted ranges
• Uniform approximation with constraints
• A Haar-type theory of best uniform approximation with constraints
• Strongly unique best approximation in Banach spaces
• Approximation by functions having restricted ranges. III
• Best uniform restricted ranges approximation II
• On Approximation by Polynomials Having Restricted Ranges
• On uniformly convex functions
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