Local Lipschitz constants

DOI10.1016/0021-9045(85)90148-0zbMath0552.41018OpenAlexW1980579897MaRDI QIDQ801497

Myron S. Henry, Terry D. Lenker, Edwin H. jun. Kaufman, James R. Angelos

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90148-0

zbMATH Keywords

best approximation operatorlocal Lipschitz constant

Mathematics Subject Classification ID

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

Related Items

Local and global Lipschitz constants ⋮ The strong derivative of the best approximation operator ⋮ Local Lipschitz and strong unicity constants for certain nonlinear families ⋮ Local Lipschitz constants and Kolushov polynomials ⋮ Bounds for extended Lipschitz constants

Cites Work

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• On extremal sets and strong unicity constants for certain \(C^{\infty}\) functions
• A uniform constant of strong uniqueness on an interval
• On Lipschitz conditions, strong unicity and a theorem of A. K. Cline
• Uniform Lipschitz constants on small intervals
• Lipschitz conditions on uniform approximation operators
• The Lipschitz constant of the operator of best approximation
• The continuity of best approximations
• Differential properties of the operator of best approximation
• Lipschitz and strong unicity constants for changing dimension