Nonuniqueness of best complex rational approximations to real functions on real intervals

DOI10.1016/0021-9045(78)90081-3zbMath0375.41008OpenAlexW2013156771MaRDI QIDQ1246097

Edward B. Saff, Richard S. Varga

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90081-3

Mathematics Subject Classification ID

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

Related Items (12)

Degree of rational functions of best approximation in \(L_ p(R^ m)\) ⋮ Real VS. Complex Rational Chebyshev Approximation on an Interval ⋮ Best uniform approximation by linear fractional transformations ⋮ Continuous dependence in rational Chebyshev approximation ⋮ Rational approximation on subsets. II ⋮ 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 approximating complex rational functions ⋮ Optimality and uniqueness conditions in complex rational Chebyshev approximation with examples ⋮ Real and complex Chebyshev approximation on the unit disk and interval ⋮ Nonuniqueness of best rational Chebyshev approximations on the unit disk ⋮ A note on a problem of Saff and Varga concerning the degree of complex rational approximation to real valued functions ⋮ On the degree of complex rational approximation to real functions

Cites Work

• Best uniform approximation by linear fractional transformations
• Nicht-lineare Approximationen
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