Lipschitz conditions, strong uniqueness, and almost Chebyshev subspaces of C(X)
From MaRDI portal
Publication:797078
DOI10.1016/0021-9045(84)90062-5zbMath0545.41043OpenAlexW2059074374MaRDI QIDQ797078
Martin W. Bartelt, Darrell Schmidt
Publication date: 1984
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(84)90062-5
metric projectionstrongly unique best approximationalmost Chebyshev subspacepoint Lipschitz continuous
Related Items
Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory ⋮ Lipschitz continuity of the best approximation operator in vector-valued Chebyshev approximation ⋮ Various continuities of metric projections in \(C_ 0(T,X)\) ⋮ Uniform Lipschitz constants in Chebyshev polynomial approximation ⋮ The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in \(L^ 1\) ⋮ Lipschitz condition for the operator of best uniform approximation at points of uniqueness
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Another characterization of Haar subspaces
- Unicity and strong unicity in approximation theory
- Characterizations of strong unicity in approximation theory
- Smoothness of approximation
- On Čebyšev and almost Čebyšev subspaces
- Almost Čebyšev systems of continuous functions
- Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
