On the behavior of the strong unicity constant for changing dimension

DOI10.1016/0021-9045(79)90110-2zbMath0436.41014OpenAlexW2064381040MaRDI QIDQ1140812

Lawrence R. Huff, Myron S. Henry

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)90110-2

zbMATH Keywords

strong unicity constantprecise order

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52)

Related Items (6)

On Poreda's problem on the strong unicity constants ⋮ Orders of strong unicity constants ⋮ Precise orders of strong unicity constants for a class of rational functions ⋮ On extremal sets and strong unicity constants for certain \(C^{\infty}\) functions ⋮ Examples of functions whose sequence of strong unicity constants is unbounded ⋮ Limits of strong unicity constants for certain \(C^{\infty}\) functions

Cites Work

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• On an unboundedness conjecture for strong unicity constants
• Characterizations of strong unicity in approximation theory
• Lipschitz conditions on uniform approximation operators
• Polynomials of best uniform approximation to certain rational functions
• Counterexamples in Best Approximation
• The continuity of best approximations
• Sur un polynôme d'interpolation
• Lipschitz and strong unicity constants for changing dimension

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