Uniform approximation by rational functions having restricted denominators

DOI10.1016/0021-9045(81)90018-6zbMath0472.41015OpenAlexW2143101423MaRDI QIDQ1157734

G. D. (Jerry) Taylor, Edwin H. jun. Kaufman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90018-6

zbMATH Keywords

differential correction algorithm

Mathematics Subject Classification ID

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

Related Items (14)

Uniform approximation by McCallig rationals ⋮ The differential correction algorithm for generalized rational functions ⋮ 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 ⋮ Chebyshev approximation by rationals with constrained denominators ⋮ The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators ⋮ An adaptive differential correction algorithm ⋮ The limit of approximation with weights large on nodes ⋮ Approximation in normed linear spaces ⋮ Uniform reciprocal approximation subject to linear constraints ⋮ A limit theorem of discretization with weights large on nodes

Cites Work

• Two new algorithms for rational approximation
• The Differential Correction Algorithm for Rational $\ell _\infty $-Approximation
• A Comparison of Algorithms for Rational l ∞ Approximation
• Further Remarks on the Differential Correction Algorithm
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