Abstract
In [2] ENGELS has shown that WILF’s quadrature is an interpolatory quadrature, i.e. it may be constructed by integration of a generalized HERMITE interpolation operator which interpolates the integration and its derivative. The connection between this operator and polynomial HERMITE interpolation is shown. This leads to a simple expression for the error of WILF’s quadrature.
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References
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© 1982 Springer Basel AG
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Schneider, C. (1982). Quadrature and Generalized Hermite Interpolation. In: Hämmerlin, G. (eds) Numerical Integration. ISNM 57: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6308-7_21
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DOI: https://doi.org/10.1007/978-3-0348-6308-7_21
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6309-4
Online ISBN: 978-3-0348-6308-7
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