Strong unicity and Lipschitz conditions of order \({1\over 2}\) for monotone approximation

DOI10.1016/0021-9045(79)90123-0zbMath0427.41008OpenAlexW2078720547MaRDI QIDQ1136284

Darrell Schmidt

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90123-0

zbMATH Keywords

Birkhoff interpolationmonotone approximationstrong unicity

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items

Local strong uniqueness ⋮ Convexity and proximinality in Banach space ⋮ A Haar-type theory of best uniform approximation with constraints ⋮ Strong unicity of order 2 in C(T) ⋮ Abadie's constraint qualification, Hoffman's error bounds, and Hausdorff strong unicity ⋮ A unified theory of strong uniqueness in uniform approximation with constraints ⋮ Strong unicity of arbitrary rate

Cites Work

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• A counterexample to strong unicity in monotone approximation
• Approximation by polynomials with restricted ranges of their derivatives
• Uniqueness of best approximation by monotone polynomials
• The continuity of best approximations
• Monotone Approximation by Algebraic Polynomials
• Birkhoff Interpolation