A Haar-type theory of best uniform approximation with constraints

DOI10.1007/BF01903965zbMath0772.41026OpenAlexW2067002112MaRDI QIDQ1187332

Darrell Schmidt, András Kroó

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01903965

zbMATH Keywords

constrained \(L_ \infty\)-approximationuniqueness of best approximants

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (2)

Best uniform approximation of complex-valued functions by generalized polynomials having restricted ranges ⋮ On best uniform restricted range approximation in complex-valued continuous function spaces.

Cites Work

• A unified theory of strong uniqueness in uniform approximation with constraints
• 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
• Approximation by polynomials with restricted ranges of their derivatives
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Best Approximation with Coefficient Constraints
• A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions

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