A representation for the remainder of the Maclaurin quadrature formula |
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| Authors: | Dr Gerhard Schmeisser |
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| Institution: | (1) Mathematisches Institut der Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, D-8520 Erlangen, Germany |
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| Abstract: | Summary We show that the remainder of the Maclaurin quadrature formula belonging to oddn (n+1 is the number of nodes) can be represented asR
n
(f)=c
n
f
(n+1) ( ), wheneverf
(n+1) exists and is continuous The corresponding problem for evenn has already been settled by A. Walther in 1925. |
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| Keywords: | |
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