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Ratio asymptotics and quadrature formulas

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Abstract

A technique to find the asymptotic behavior of the ratio between a polynomialss n and thenth orthonormal polynomial with respect to a positive measureμ is shown. Using it, some new results are found and a very simple proof for other classics is given.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, 41080, Sevilla, Spain

    A. J. Duran

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  1. A. J. Duran
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Communicated by Paul Nevai.

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Duran, A.J. Ratio asymptotics and quadrature formulas. Constr. Approx 13, 271–286 (1997). https://doi.org/10.1007/BF02678469

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  • DOI: https://doi.org/10.1007/BF02678469

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