On strong uniqueness in linear Chebyshev approximation

DOI10.1016/0021-9045(84)90109-6zbMath0537.41015OpenAlexW1979572580MaRDI QIDQ792556

Hans-Peter Blatt

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)90109-6

zbMATH Keywords

isolated pointsstrong uniquenessChebyshev approximationstrongly unique best approximation

Mathematics Subject Classification ID

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

Related Items

Differential properties of the best-approximation operator for complex- valued functions. I ⋮ Strong unicity in normed linear spaces ⋮ Differential properties of the operator of best approximation of complex- valued functions. II ⋮ Local strong uniqueness ⋮ Lipschitz continuity of the best approximation operator in vector-valued Chebyshev approximation ⋮ Lipschitz continuity and Gateaux differentiability of the best approximation operator in vector-valued Chebyshev approximation ⋮ A Fast Algorithm for Linear Complex Chebyshev Approximations ⋮ On two complex Zolotarev's first problems

Cites Work

• Non-strong uniqueness in real and complex Chebyshev approximation
• Near-circularity of the error curve in complex Chebyshev approximation
• Complex Chebyshev polynomials on circular sectors
• Some best polynomial approximations in the plane
• Some theorems on Cebysev approximation
• A Unified Approach to Certain Problems of Approximation and Minimization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item