On uniform convergence of rational, Newton-Padé interpolants of type (n,n) with free poles as \(n\to \infty\)

DOI10.1007/BF01390053zbMath0685.41003MaRDI QIDQ1826048

Doron S. Lubinsky

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133354

zbMATH Keywords

meromorphic functionHermite interpolationNewton-Padé interpolation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21) Interpolation in approximation theory (41A05)

Related Items

Reflections on the Baker–Gammel–Wills (Padé) Conjecture ⋮ Distribution of poles of diagonal rational approximants to functions of fast rational approximability

Cites Work

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• On the conjecture of Meinardus on rational approximation of \(e^ x\), II
• The asymptotic accuracy of rational best approximations to \(e^ z\) on a disk
• Asymptotics of diagonal Hermite-Padé polynomials
• Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
• Power series equivalent to rational functions: a shifting - origin Kronecker type theorem, and normality of Padé tables
• Divergence of complex rational approximations
• The distribution of the poles of the best approximating rational functions and the analytical properties of the approximated function
• ON CONVERGENCE OF SUBSEQUENCES OF THEmTH ROW OF A PADÉ TABLE
• Pade Tables of a Class of Entire Functions
• The convergence of padé approximants and the size of the power series coefficients
• THE DISTRIBUTION OF POLES OF RATIONAL FUNCTIONS OF BEST APPROXIMATION AND RELATED QUESTIONS