Two-point Padé-type approximation to the Cauchy transform of certain strong distributions

DOI10.1016/S0377-0427(99)00043-6zbMath0948.46032OpenAlexW2055943495MaRDI QIDQ1301960

Pablo González-Vera, Ramón Orive, Carlos Díaz-Mendoza

Publication date: 29 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00043-6

zbMATH Keywords

rate of convergenceorthogonal polynomialsCauchy transformstrong distributionstwo-point Padé type approximantssymmetric property

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Moment problems and interpolation problems in the complex plane (30E05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

Global approximation for some functions ⋮ Two-point Padé approximation to Herglotz-Riesz transforms ⋮ Padé approximants and quadratures related to certain strong distributions ⋮ On certain symmetric strong distributions, two-point Padé approximation and related quadratures ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference

Cites Work

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• Two-point partial Padé approximants
• Another quadrature rule of highest algebraic degree of precision
• Quadrature on the half line and two-point Padé approximants to Stieltjes functions. III: The unbounded case
• Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
• On the convergence of two-point Padé-type approximants
• Convergence of two-point Padé approximants to series of Stieltjes
• On a Recurrence Formula Associated with Strong Distributions
• On the extensions of some classical distributions
• A Strong Stieltjes Moment Problem

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