A de Montessus-type theorem for CF approximation

DOI10.1016/0377-0427(86)90099-3zbMath0606.30035OpenAlexW1986625185MaRDI QIDQ1084547

Edward B. Saff, Martin H. Gutknecht

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90099-3

zbMATH Keywords

CF approximations

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Rational Carathéodory-Fejér approximation on a disk, a circle, and an interval
• Rational Chebyshev approximation on the unit disk
• The convergence of sequences of rational functions of best approximation
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• The Convergence of Sequences of Rational Functions of Best Approximation. II
• Hankel Forms, Toeplitz Forms and Meromorphic Functions
• On the Spectra of Bounded, Hermitian, Hankel Matrices
• The Convergence of Rational Functions of Best Approximation to the Exponential Function
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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