Strong unicity in normed linear spaces

DOI10.1080/01630569008816374zbMath0694.49005OpenAlexW2035071967MaRDI QIDQ3469793

Thomas Fischer

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816374

zbMATH Keywords

best approximationstrong unicitygeneralized alternation conditionlinear semi-infinite optimization problem

Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Existence theories for problems in abstract spaces (49J27)

Cites Work

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• On strong uniqueness in linear Chebyshev approximation
• Strong unicity and alternation for linear optimization
• Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces
• Characterizations of strong unicity in approximation theory
• Smoothness of approximation
• Interpolating subspaces in approximation theory
• Some theorems on Cebysev approximation
• Strong unicity of best approximations : A numerical aspect
• On the continuity of best approximations in the space of integrable functions
• Convex Analysis
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions