The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in \(L^ 1\)

DOI10.1016/0021-9045(86)90056-0zbMath0586.41022OpenAlexW1975890288MaRDI QIDQ1071980

James R. Angelos, András Kroó

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)90056-0

zbMATH Keywords

Lipschitz constantbest approximation operatorstrong unicity constants\(L^ 1\) approximationlocal modulus of continuity

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Approximation by arbitrary linear expressions (41A45)

Related Items (1)

The prevalence of strong uniqueness in \(L^ 1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lipschitz conditions, strong uniqueness, and almost Chebyshev subspaces of C(X)
• Strong uniqueness in \(L^ p\) spaces
• Unicity and strong unicity in approximation theory
• Smoothness of approximation
• Some theorems on Cebysev approximation
• The modulus of coninuity of the set-valued metric projection
• On the continuity of best approximations in the space of integrable functions
• Cebysev Subspaces of Finite Dimension in L 1

This page was built for publication: The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in \(L^ 1\)