A counterexample to strong unicity in monotone approximation

DOI10.1016/0021-9045(79)90094-7zbMath0452.41006OpenAlexW2029945032WikidataQ124814114 ScholiaQ124814114MaRDI QIDQ1148477

John A. Roulier, Yates Fletcher

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)90094-7

zbMATH Keywords

best uniform approximationstrong uniquenessn-th degree polynomials

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (7)

Strong unicity and Lipschitz conditions of order \({1\over 2}\) for monotone approximation ⋮ Local strong uniqueness ⋮ A Haar-type theory of best uniform approximation with constraints ⋮ A unified theory of strong uniqueness in uniform approximation with constraints ⋮ Strong uniqueness in nonlinear approximation ⋮ Strong unicity of arbitrary rate ⋮ Strong uniqueness in \(L^ p\) spaces

Cites Work

• Unnamed Item
• Uniform Lipschitz constants on small intervals
• On an unboundedness conjecture for strong unicity constants
• Monotono approximation of certain classes of functions
• Approximation by polynomials with restricted ranges of their derivatives
• Uniqueness of best approximation by monotone polynomials
• Monotone Approximation by Algebraic Polynomials
• Lipschitz and strong unicity constants for changing dimension

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