Local and global Lipschitz constants

DOI10.1016/0021-9045(86)90057-2zbMath0607.41025OpenAlexW1998609781MaRDI QIDQ1085363

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

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90057-2

zbMATH Keywords

best uniform approximationstrong unicity constantglobal Lipschitz constant

Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Best constants in approximation theory (41A44)

Related Items (4)

Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory ⋮ Local Lipschitz constants and Kolushov polynomials ⋮ Bounds for extended Lipschitz constants ⋮ Lipschitz continuity and Gateaux differentiability of the best approximation operator in vector-valued Chebyshev approximation

Cites Work

• Lebesgue constants for certain classes of nodes
• Local Lipschitz constants
• Limits of strong unicity constants for certain \(C^{\infty}\) functions
• Continuity of the strong unicity constant on C(X) for changing X
• Orders of strong unicity constants
• Uniform strong unicity for rational approximation
• Some polynomial approximation operators
• On Lipschitz conditions, strong unicity and a theorem of A. K. Cline
• On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\)
• On an unboundedness conjecture for strong unicity constants
• The Lipschitz constant of the operator of best approximation
• Differential properties of the operator of best approximation
• Lipschitz and strong unicity constants for changing dimension
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