Generalized Hermite-Padé approximation for Nikishin systems of three functions

DOI10.1016/j.cam.2009.02.068zbMath1186.41011OpenAlexW1552058370MaRDI QIDQ1044647

J. Blot

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.068

zbMATH Keywords

rate of convergencesimultaneous approximationapproximation by rational functions

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (1)

Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy

Cites Work

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• General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems
• Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II
• On perfect Nikishin systems
• Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems
• EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• Hermite-Pade approximants for systems of Markov-type functions

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