Strong uniqueness in nonlinear approximation

DOI10.1016/0021-9045(84)90104-7zbMath0536.41036OpenAlexW2049424622MaRDI QIDQ791788

Peter F. Mah

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90104-7

zbMATH Keywords

strong uniquenessmonotone polynomialsstrong Kolmogorov conditionstrong Kolmogorov set

Mathematics Subject Classification ID

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

Related Items

Characterizations of the strongly unique best approximations

Cites Work

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• A counterexample to strong unicity in monotone approximation
• Approximation and strong approximation in normed spaces via tangent functionals
• Characterizations of strong unicity in approximation theory
• Charakterisierung bester Approximationen in normierten Vektorräumen
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions