Real and complex Chebyshev approximation on the unit disk and interval

DOI10.1090/S0273-0979-1983-15118-2zbMath0511.30025OpenAlexW2029923213MaRDI QIDQ4750083

Martin H. Gutknecht, Lloyd N. Threfethen

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1983-15118-2

zbMATH Keywords

rational approximationChebyshev approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21)

Related Items (4)

Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform ⋮ Local best rational approximations to continuous functions and the rays they emanate ⋮ A bootstrap method for sum-of-poles approximations ⋮ Complex Approximation of Real Functions by Reciprocals of Polynomials

Cites Work

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• Nonuniqueness of best rational Chebyshev approximations on the unit disk
• Padé approximate as limits of rational functions of best approximation, real domain
• Nonuniqueness of best complex rational approximations to real functions on real intervals
• Padé approximants as limits of best rational approximants
• Real VS. Complex Rational Chebyshev Approximation on an Interval
• A note on a problem of Saff and Varga concerning the degree of complex rational approximation to real valued functions
• Nonuniqueness of best approximating complex rational functions

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