Uniform approximation by polynomials having bounded coefficients

DOI10.1007/BF02995915zbMath0223.41006MaRDI QIDQ2548038

John A. Roulier, G. D. (Jerry) Taylor

Publication date: 1971

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (10)

The Remez Exchange Algorithm for Approximation With Linear Restrictions ⋮ Characterization theorem of generalized polynomial of best approximation having bounded coefficients ⋮ New effective moduli of uniqueness and uniform a priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory ⋮ Bounds on strong unicity for Chebyshev approximation with bounded coefficients ⋮ Effective moduli from ineffective uniqueness proofs. An unwinding of de La Vallée Poussin's proof for Chebycheff approximation ⋮ A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions ⋮ Global approximation with bounded coefficients ⋮ Polynomials with positive coefficients: Uniqueness of best approximation ⋮ Approximation with constraints in normed linear spaces ⋮ On the uniqueness of best uniform approximations in the presence of constraints

Cites Work

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• Monotono approximation of certain classes of functions
• Approximation by functions having restricted ranges. III
• On uniform approximation with interpolatory constraints
• Approximation by functions having restricted ranges: Equality case
• A permissible restriction on the coefficients in uniform polynomial approximation to \(C[0,1\)]
• Permissible bounds on the coefficients of approximating polynomials
• Restrictions on the coefficients of approximating polynomials
• Necessity of Alteration
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
• Monotone Approximation by Algebraic Polynomials
• Iterative Construction of Constrained Chebyshev Approximation of Continuous Functions

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