Real VS. Complex Rational Chebyshev Approximation on an Interval

DOI10.2307/1999633zbMath0552.41009OpenAlexW4229998838MaRDI QIDQ3345228

Martin H. Gutknecht, Lloyd N. Threfethen

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999633

zbMATH Keywords

rational functions with complex coefficients

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Uniqueness of best approximation (41A52)

Related Items (max. 100)

Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform ⋮ Complex Approximation of Real Functions by Reciprocals of Polynomials ⋮ Real and complex Chebyshev approximation on the unit disk and interval ⋮ A note on real vs. complex best Chebyshev approximation on an interval ⋮ On the degree of complex rational approximation to real functions

Cites Work

• Best uniform approximation by linear fractional transformations
• Rational Chebyshev approximation on the unit disk
• The length of the alternation set as a factor in determining when a best real rational approximation is also a best complex rational approximation
• Nonuniqueness of best complex rational approximations to real functions on real intervals
• On approximation to an analytic function by rational functions of best approximation
• 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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