Weak convergence of varying measures and Hermite-Padé orthogonal polynomials

DOI10.1007/s003659900122zbMath1058.42503OpenAlexW1990220656MaRDI QIDQ1963849

Bernardo de la Calle Ysern, Guillermo López Lagomasino

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1007/s003659900122

zbMATH Keywords

weak convergenceorthogonal polynomialsNikishin systemweak asymptoticsvarying measures

Mathematics Subject Classification ID

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

Related Items (10)

Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures ⋮ An introduction to multiple orthogonal polynomials and Hermite-Padé approximation ⋮ Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II ⋮ A canonical family of multiple orthogonal polynomials for Nikishin systems ⋮ Mixed type multiple orthogonal polynomials for two Nikishin systems ⋮ Asymptotic of Cauchy biorthogonal polynomials ⋮ Relative asymptotic of multiple orthogonal polynomials for Nikishin systems ⋮ On the convergence of multi-level Hermite-Padé approximants ⋮ Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants ⋮ Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure

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