Characterization theorems for constrained approximation problems via optimization theory

DOI10.1016/0021-9045(75)90068-4zbMath0297.41016OpenAlexW1989765698MaRDI QIDQ1214066

Kenneth R. Gehner

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-9045(75)90068-4

Mathematics Subject Classification ID

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

Related Items (9)

Necessary conditions for Pareto optimality in simultaneous Chebyshev best approximation ⋮ A GENERAL CHARACTERIZATION OF BEST RESTRICTED RANGE APPROXIMATIONS ⋮ Uniform non-linear constrained approximation in normed linear spaces ⋮ Convex \(L^ p\) approximation ⋮ Characterization of minimal elements in minimization problems with constraints ⋮ Approximation with constraints in normed linear spaces ⋮ Optimality conditions for convex semi-infinite programming problems ⋮ Least-squares approximation with restricted range ⋮ Optimality conditions for directionally differentiable multi-objective programming problems

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