Chebyshev approximation by reciprocals of polynomials on \([0,\infty)\)

DOI10.1016/0021-9045(76)90043-5zbMath0337.41019OpenAlexW1980926910MaRDI QIDQ1230048

D. Brink, G. D. (Jerry) Taylor

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90043-5

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Approximation by polynomials (41A10)

Related Items (7)

Continuity of best reciprocal polynomial approximation on [0,infinity] ⋮ Strong uniqueness for Chebyshev approximation by reciprocals of polynomials on \([0,\infty)\) ⋮ Continuous dependence in rational Chebyshev approximation ⋮ Rational approximation on subsets. II ⋮ Chebyshev approximation by reciprocals of polynomials on \([0,\infty)\) ⋮ Approximation with reciprocals of polynomials on compact sets ⋮ Existence of best uniform approximations by reciprocals

Cites Work

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• Chebyshev approximation by reciprocals of polynomials on \([0,\infty)\)
• Rationale Tschebyscheff-Approximation über unbeschränkten Intervallen
• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• Existence Questions for the Problem of Chebyshev Approximation by Interpolating Rationals
• Chebyshev Approximation by Interpolating Rationals on [ α, ∞)
• Converse Theorems and Extensions in Chebyshev Rational Approximation to Certain Entire Functions in [ 0, + ∞)
• Numerical Chebyshev Approximation by Interpolating Rationals

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