Eine Fehlerabschätzung zum Quadraturverfahren von Clenshaw und Curtis |
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| Authors: | Helmut Braß |
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| Institution: | (1) Institut für Mathematik, Technische Universität Clausthal, Erzstr. 1, D-3392 Clausthal-Zellerfeld, Bundesrepublik Deutschland |
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| Abstract: | Summary LetR
n
f] be the error of the quadrature formula of Clenshaw and Curtis. Narrow bounds for the coefficientc
n
in |R
n
f]| c
n
(n!)–1 max |f
(n)
(x)| are given. As a consequence is proven, that the Clenshaw-Curtis-method will generally give more accurate results than the method of Filippi. |
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| Keywords: | |
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