Continuity of best reciprocal polynomial approximation on [0,infinity]

DOI10.1016/0021-9045(80)90027-1zbMath0456.41007OpenAlexW2071335706MaRDI QIDQ1150828

Charles B. Dunham, G. D. (Jerry) Taylor

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90027-1

zbMATH Keywords

characterizationstrong uniquenessbest approximation operator

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Uniqueness of best approximation (41A52)

Related Items (1)

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

Cites Work

• Unnamed Item
• A class of rational approximations of the positive real axis - a survey
• Geometric convergence to \(e^{-z}\) by rational functions with real poles
• Geometric convergence of rational approximations to \(e^{-z}\) in infinite sectors
• Chebyshev approximation by reciprocals of polynomials on \([0,\infty)\)
• Uniform approximation with rational functions having negative poles
• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• Chebyshev Approximation by Interpolating Rationals on [ α, ∞)
• Generalized Rational Approximation
• Alternating Chebyshev Approximation

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