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On the Asymptotic Behaviour of Some Cotes Numbers

1986; Wiley; Volume: 66; Issue: 8 Linguagem: Inglês

10.1002/zamm.19860660815

1521-4001

Martin Kütz,

Matrix Theory and Algorithms

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVolume 66, Issue 8 p. 373-375 Short Communication On the Asymptotic Behaviour of Some Cotes Numbers Dr. M. Kütz, Dr. M. Kütz Am Krummorgen 5, D-6233 Kelkheim, BRDSearch for more papers by this author Dr. M. Kütz, Dr. M. Kütz Am Krummorgen 5, D-6233 Kelkheim, BRDSearch for more papers by this author First published: 1986 https://doi.org/10.1002/zamm.19860660815Citations: 2AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 Askey, R.; Fitch, J., Positivity of the Cotes numbers for some ultraspherical abscissas, SIAM J. Numer. Anal. 5 (1968), 199–201. 2 Brass, H., Quadraturverfahren, Göttingen, Vandenhoeck und Ruprecht 1977. 3 Gautschi, W., Numerical quadrature in the presence of a singularity, SIAM J. Numer. Anal. 4 (1967), 357–362. 4 Kütz, M., Fehlerschranken und Fehlerasymptotik für eine Klasse von Interpolationsquadraturen, Doctoral Dissertation, Technische Universität Braunschweig 1982. 5 Miller, R. K., On ignoring the singularity in numerical quadrature, Math. Comput. 25 (1971), 521–532. 6 Natanson, G. I., Zweiseitige Abschätzung der Lebesgueschen Funktion eines Lagrangeschen Interpolationsprozesses mit Jacobischen Knoten (in Russian), Izvestija vysš. učebn. Zaved. Mat. 66 (1967), 67–74. 7 Nevai, G. P., Mean convergence of Lagrange interpolation. I, J. Approx. Theory 18 (1976), 363–377. 8 Riess, R.; Johnson, L., Error estimates for Clenshaw-Curtis quadrature, Numer. Math. 18 (1972), 345–353. 9 Szegö, G., Orthogonal Polynomials ( 4. ed., 2nd printing), AMS Colloq. Publ., vol. 23, Providence — Rhode Islands 1978. 10 Whitney, E. L., Estimates of weights in Gauss-type quadrature, Math. Comput. 19 (1965), 277–286. Citing Literature Volume66, Issue81986Pages 373-375 ReferencesRelatedInformation