The length of the alternation set as a factor in determining when a best real rational approximation is also a best complex rational approximation

DOI10.1016/0021-9045(81)90093-9zbMath0493.41017OpenAlexW2004364978MaRDI QIDQ1168517

Arden Ruttan

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90093-9

zbMATH Keywords

alternation setbest uniform rational approximants

Mathematics Subject Classification ID

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

Related Items (4)

Real VS. Complex Rational Chebyshev Approximation on an Interval ⋮ A characterization of best complex rational approximants in a fundamental case ⋮ Complex Approximation of Real Functions by Reciprocals of Polynomials ⋮ Optimality and uniqueness conditions in complex rational Chebyshev approximation with examples

Cites Work

• On the characterization of complex rational approximations
• Nonuniqueness of best complex rational approximations to real functions on real intervals
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The length of the alternation set as a factor in determining when a best real rational approximation is also a best complex rational approximation