Best approximation in the space of continuous vector-valued functions

DOI10.1016/0021-9045(88)90080-9zbMath0645.41027OpenAlexW2026594873MaRDI QIDQ1103139

Frank Deutsch

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90080-9

zbMATH Keywords

characterization theorems for best approximations

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Characterization of generalized Haar spaces ⋮ Lipschitz continuity of the best approximation operator in vector-valued Chebyshev approximation ⋮ Lipschitz continuity and Gateaux differentiability of the best approximation operator in vector-valued Chebyshev approximation ⋮ An intrinsic characterization of lower semicontinuity of the metric projection in \(C_ 0(T,X)\) ⋮ Various continuities of metric projections in \(C_ 0(T,X)\) ⋮ Abadie's constraint qualification, Hoffman's error bounds, and Hausdorff strong unicity

Cites Work

• Uniform approximation and a generalized minimax theorem
• On some geometric properties of suns
• Applications of the Hahn-Banach Theorem in Approximation Theory
• Minimax Theorems
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