Symmetric contours and convergent interpolation

DOI10.1016/j.jat.2017.10.003zbMath1383.42025arXiv1706.02811OpenAlexW2626311171WikidataQ64214515 ScholiaQ64214515MaRDI QIDQ1685949

Maxim L. Yattselev

Publication date: 20 December 2017

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

Full work available at URL: https://arxiv.org/abs/1706.02811

zbMATH Keywords

orthogonal polynomialsmultipoint Padé approximationstrong asymptoticsnon-Hermitian orthogonalitymatrix Riemann-Hilbert approachS-contours

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by rational functions (41A20) Padé approximation (41A21)

Related Items (7)

Convergence of two-point Padé approximants to piecewise holomorphic functions ⋮ On \(L_{\mathbb{R}}^2\)-best rational approximants to Markov functions on several intervals ⋮ S-Contours and Convergent Interpolation ⋮ Supercritical regime for the kissing polynomials ⋮ Robust formula for \(N\)-point Padé approximant calculation based on Wynn identity ⋮ On multipoint Padé approximants whose poles accumulate on contours that separate the plane ⋮ Extremal polynomials on a Jordan arc

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