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Approximation and Computation: A Festschrift in Honor of Walter Gautschi pp 421–434Cite as

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Error Estimates for Gauss-Laguerre and Gauss-Hermite Quadrature Formulas

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Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 119))

Abstract

New error estimates are derived for Gauss-Laguerre and Gauss-Hermite m—point quadrature formulas; they are of the type \(O\,({m^{ - r/2}})\,\left\| {{x^{r/2}}} \right.{f^{(r)}}\left. {{x^\alpha }{e^{ - x}}} \right\|\,{L_1}\) and \(O\,({m^{ - r/2}})\,\left\| {{f^{(r)}}} \right.\left. {{e^{ - qx2}}} \right\|{L_1},\,0 <\,q\,1\) respectively, for functions f in suitable function classes.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università della Basilicata, Italia

    G. Mastroianni

  2. Dipartimento di Matematica, Politecnico di Torino, Italia

    G. Monegato

Authors
  1. G. Mastroianni
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  2. G. Monegato
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Editor information

Editors and Affiliations

  1. Département d’informatique et de recherche opérationnelle, Université de Montréal, Succursale “Centre-Ville”, C.P. 6128, H3C 3J7, Montréal, Québec, Canada

    R. V. M. Zahar

Additional information

Work performed under the auspices of the Ministero dell’Università e della Ricerca Scientifica e Tecnologica of Italy

Dedicated to Walter Gautschi on the occasion of his 65th birthday

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© 1994 Birkhäuser

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Mastroianni, G., Monegato, G. (1994). Error Estimates for Gauss-Laguerre and Gauss-Hermite Quadrature Formulas. In: Zahar, R.V.M. (eds) Approximation and Computation: A Festschrift in Honor of Walter Gautschi. ISNM International Series of Numerical Mathematics, vol 119. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-7415-2_28

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  • DOI: https://doi.org/10.1007/978-1-4684-7415-2_28

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4684-7417-6

  • Online ISBN: 978-1-4684-7415-2

  • eBook Packages: Springer Book Archive

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