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A formula for accelerating the convergence of a general series

Published online by Cambridge University Press:  17 April 2009

J.E. Drummond
J.E. Drummond
Affiliation:
Department of Applied Mathematics, School of General Studies, Australian National University, Canberra, ACT.
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Abstract

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A weighted average of the partial sums of a series provides a quick and moderately powerful sum for any series in which the ratio of successive terms varies slowly along the series and this ratio is not close to +1. Some properties of the sum are examined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 69 - 74
Copyright
Copyright © Australian Mathematical Society 1972

References

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