A formula for accelerating the convergence of a general series
- 1 February 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 6 (1) , 69-74
- https://doi.org/10.1017/s0004972700044270
Abstract
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.Keywords
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