Chebyshev approximation by rationals with constrained denominators

DOI10.1016/0021-9045(83)90112-0zbMath0506.41029OpenAlexW2000072463MaRDI QIDQ1836824

Charles B. Dunham

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)90112-0

zbMATH Keywords

algorithmsuniquenesscharacterizationYoung's conditionconstrained denominators

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (11)

Uniform approximation by McCallig rationals ⋮ Strong uniqueness in restricted rational approximation ⋮ Characterization of a best and a unique best approximation from constrained rationals ⋮ An algorithm for Chebyshev approximation by rationals with constrained denominators ⋮ Practical algorithms for multivariate rational approximation ⋮ Badness of small denominators in rational function evaluation ⋮ Non-density of restricted rationals ⋮ The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators ⋮ The limit of approximation with weights large on nodes ⋮ The linear inequality method for rational approximation with interpolation ⋮ A limit theorem of discretization with weights large on nodes

Cites Work

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• Further Remarks on the Differential Correction Algorithm
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