Lipschitz continuity and strong unicity in G. Freud's work

DOI10.1016/0021-9045(86)90082-1zbMath0583.41023OpenAlexW2060392536MaRDI QIDQ1070144

Hans-Peter Blatt

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)90082-1

zbMATH Keywords

Lipschitz continuitybest uniform approximationstrong unicity constants

Mathematics Subject Classification ID

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

Related Items (5)

New effective moduli of uniqueness and uniform a priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory ⋮ Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory ⋮ Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in \(L_1\) ⋮ Bounds for extended Lipschitz constants ⋮ On the distribution of the points of Chebyshev alternation with applications to strong unicity constants

Cites Work

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• On extremal sets and strong unicity constants for certain \(C^{\infty}\) functions
• Orders of strong unicity constants
• Precise orders of strong unicity constants for a class of rational functions
• Eigenschaften von schwach tschebyscheffschen Räumen
• On an unboundedness conjecture for strong unicity constants
• Lipschitz conditions on uniform approximation operators
• Some theorems on Cebysev approximation
• The Lipschitz constant of the operator of best approximation
• A characterization of pointwise-lipschitz-continuous selections for the metric projection
• Counterexamples in Best Approximation
• Weak Chebyshev Subspaces and Continuous Selections for the Metric Projection
• Lipschitz and strong unicity constants for changing dimension

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