Optimality and uniqueness conditions in complex rational Chebyshev approximation with examples

DOI10.1007/BF01229337zbMath0769.30028OpenAlexW2062623680MaRDI QIDQ1205139

M.-P. Istace, Jean-Philippe Thiran

Publication date: 1 April 1993

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229337

zbMATH Keywords

uniqueness of best approximationoptimality conditionChebyshev approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Uniqueness of best approximation (41A52)

Related Items (2)

An Algorithm for Real and Complex Rational Minimax Approximation ⋮ On computing best Chebyshev complex rational approximants

Cites Work

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• Nonuniqueness of best rational Chebyshev approximations on the unit disk
• A characterization of best complex rational approximants in a fundamental case
• Best uniform approximation by linear fractional transformations
• On the characterization of complex rational approximations
• The length of the alternation set as a factor in determining when a best real rational approximation is also a best complex rational approximation
• Nonuniqueness of best complex rational approximations to real functions on real intervals
• Nicht-lineare Approximationen
• Characterization and Computation of Rational Chebyshev Approximations in the Complex Plane
• Analytic Inequalities

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