A unified theory of strong uniqueness in uniform approximation with constraints

DOI10.1016/0021-9045(83)90114-4zbMath0528.41012OpenAlexW2070847223MaRDI QIDQ787045

Bruce L. Chalmers, G. D. (Jerry) Taylor

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90114-4

zbMATH Keywords

strong uniquenessbest approximation operatorcomputation of best approximationsconstrained uniform approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation with constraints (41A29)

Related Items

Strongly unique best approximation in uniformly convex Banach spaces, A class of best simultaneous approximation problems, Bounds on strong unicity for Chebyshev approximation with bounded coefficients, Local strong uniqueness, A Haar-type theory of best uniform approximation with constraints, Strong unicity of order 2 in C(T), Uniform reciprocal approximation subject to linear constraints

Cites Work

• Uniform reciprocal approximation subject to linear constraints
• Strong unicity of arbitrary rate
• Strong unicity and Lipschitz conditions of order \({1\over 2}\) for monotone approximation
• Uniform approximation with constraints
• A counterexample to strong unicity in monotone approximation
• Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
• Approximation by polynomials with restricted ranges of their derivatives
• The Remez Exchange Algorithm for Approximation With Linear Restrictions
• A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions
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