Lipschitz and strong unicity constants for changing dimension

DOI10.1016/0021-9045(78)90072-2zbMath0428.41003OpenAlexW1975394763MaRDI QIDQ5904298

Myron S. Henry, John A. Roulier

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90072-2

zbMATH Keywords

Lipschitz constantsstrong unicity constants

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Uniqueness of best approximation (41A52)

Related Items (4)

Limit relation for various methods of approximation of periodic functions by splines and trigonometric polynomials ⋮ Local Lipschitz constants and Kolushov polynomials ⋮ On the duality of a non-convex optimization problem and the strong unicity constant in linear Chebyshev approximation ⋮ On the distribution of the points of Chebyshev alternation with applications to strong unicity constants

Cites Work

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• On Lipschitz conditions, strong unicity and a theorem of A. K. Cline
• Another characterization of Haar subspaces
• Uniform Lipschitz constants on small intervals
• Characterizations of strong unicity in approximation theory
• Lipschitz conditions on uniform approximation operators
• Counterexamples in Best Approximation
• On the Location of the Deviation Points in Chebyshev Approximation by Polynomials
• Sur un polynôme d'interpolation

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