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

DOI10.1007/BF01952483zbMath0654.41030OpenAlexW2063394052MaRDI QIDQ1108516

Darrell Schmidt, James R. Angelos

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01952483

zbMATH Keywords

Chebyshev spacestrong uniquenessalmost Chebyshev space

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

Almost Chebyshev properties for \(L^ 1\)-approximation of continuous functions

Cites Work

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• Strong uniqueness in \(L^ p\) spaces
• The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in \(L^ 1\)
• Almost Chebyshev subspaces of \(L^1(\mu;E)\)
• Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
• Unicity and strong unicity in approximation theory
• Best L//1-approximation on finite point sets: Rate of convergence
• Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces
• Some theorems on Cebysev approximation
• On the continuity of best approximations in the space of integrable functions
• Cebysev Subspaces of Finite Dimension in L 1
• The Existence and Unicity of Best Approximations.
• Almost Čebyšev systems of continuous functions
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
• The Differential Correction Algorithm for Rational $\ell _\infty $-Approximation

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