Abstract
In this paper the authors examine the convergence of an interpolatory type quadrature rule proposed by G. Monegato for the evaluation of Cauchy principal value integrals. A convergence theorem is given for a large class of functions and some estimates of the remainder are established.
Zusammenfassung
In dieser Arbeit wird die Konvergenz einer von G. Monegato eingeführten Interpolations-Quadraturformel für die Auswertung Cauchyscher Hauptwertintegrale untersucht. Die Autoren geben ein Konvergenztheorem für eine große Klasse von Funktionen an sowie Abschätzungen für das Restglied.
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Chiodo, C., Criscuolo, G. On the convergence of a rule by Monegato for the numerical evaluation of Cauchy principal value integrals. Computing 40, 67–74 (1988). https://doi.org/10.1007/BF02242190
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DOI: https://doi.org/10.1007/BF02242190