Fourier-Padé approximants for Nikishin systems

DOI10.1007/s00365-008-9023-1zbMath1175.30036OpenAlexW1992137761MaRDI QIDQ836081

Judit Mínguez Ceniceros, Guillermo López Lagomasino

Publication date: 31 August 2009

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-008-9023-1

zbMATH Keywords

rate of convergencepotential theorymultipoint Padé approximationrational approximationFourier-Padé approximation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Approximation by rational functions (41A20)

Related Items (3)

Frobenius-Padé approximants of \(|x|\) ⋮ Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method ⋮ Mixed type multiple orthogonal polynomials for two Nikishin systems

Cites Work

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• Fourier-Padé approximants for Angelesco 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
• ON MONTESSUS DE BALLORE'S THEOREM FOR RATIONAL APPROXIMANTS OF ORTHOGONAL EXPANSIONS
• ON THE CONVERGENCE OF RATIONAL APPROXIMATIONS TO POLYNOMIAL EXPANSIONS IN DOMAINS OF MEROMORPHY OF A GIVEN FUNCTION

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