Uniform Lipschitz constants on small intervals

DOI10.1016/0021-9045(77)90084-3zbMath0368.41025OpenAlexW1975490639MaRDI QIDQ1243064

Myron S. Henry, John A. Roulier

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90084-3

Mathematics Subject Classification ID

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

Related Items (11)

Lipschitz Constants and Moduli of Continuity for the Chebyshev Projection ⋮ Continuity of the strong unicity constant on C(X) for changing X ⋮ A uniform constant of strong uniqueness on an interval ⋮ On the behavior of the strong unicity constant for changing dimension ⋮ A counterexample to strong unicity in monotone approximation ⋮ Continuity and strong unicity of the best approximation operator on subintervals ⋮ Orders of strong unicity constants ⋮ Lipschitz and strong unicity constants for changing dimension ⋮ Lipschitz and strong unicity constants for changing dimension ⋮ Limits of strong unicity constants for certain \(C^{\infty}\) functions ⋮ Local Lipschitz constants

Cites Work

• Über die Abhängigkeit der Tschebyscheffschen Approximierenden einer differenzierbaren Funktion vom Intervall
• On Lipschitz conditions, strong unicity and a theorem of A. K. Cline
• Applications of approximation theory to the initial value problem
• Lipschitz conditions on uniform approximation operators
• Tschebyscheff-Approximationen in kleinen Intervallen. I; II: Stetigkeitssätze für gebrochen rationale Approximationen
• Counterexamples in Best Approximation
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