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On an inversion theorem of Möbius

Part of: Numerical approximation and computational geometry

Published online by Cambridge University Press:  09 April 2009

J. H. Loxton  and
J. W. Sanders
J. H. Loxton
Affiliation:
School of Mathematics University of New South Wales, Kensington, N.S.W. 2033, Australia
J. W. Sanders
Affiliation:
School of Mathematics University of New South Wales, Kensington, N.S.W. 2033, Australia
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Abstract

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The theme of the paper is a Möbius inversion principle for infinite sums. We deal with the origins and unprincipled use of this idea in the nineteenth century, its rigorous justification under minimal hypotheses and some applications to a problem in numerical integration.

MSC classification

Secondary: 65D30: Numerical integration
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 1 , September 1980 , pp. 15 - 32
Copyright
Copyright © Australian Mathematical Society 1980

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