Limits of strong unicity constants for certain \(C^{\infty}\) functions

DOI10.1007/BF01958028zbMath0564.41013OpenAlexW1973139807MaRDI QIDQ1058085

Myron S. Henry, John J. Swetits

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01958028

zbMATH Keywords

strong unicity constant

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (3)

Local and global Lipschitz constants ⋮ On the real CF-method for polynomial approximation and strong unicity constants ⋮ Bounds for extended Lipschitz constants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On extremal sets and strong unicity constants for certain \(C^{\infty}\) functions
• On the behavior of the strong unicity constant for changing dimension
• 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
• Uniform Lipschitz constants on small intervals
• On an unboundedness conjecture for strong unicity constants
• Lipschitz conditions on uniform approximation operators
• The Lipschitz constant of the operator of best approximation
• Counterexamples in Best Approximation

This page was built for publication: Limits of strong unicity constants for certain \(C^{\infty}\) functions