Summation of series of positive terms by condensation transformations.
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- by James W. Daniel PDF
- Math. Comp. 23 (1969), 91-96 Request permission
Abstract:
The condensation transformation, which maps series of positive terms into more conveniently summed alternating series, each term ${v_j}$ of which is itself an infinite series, is discussed with examples. It is shown that for a large class of extremely slowly convergent series (essentially those dominated by the “logarithmic scale") the series defining the terms ${v_j}$ are more easily summed than the original and may in fact be transformed further if desired. Numerical examples reveal the power of the method.References
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Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 91-96
- MSC: Primary 65.10
- DOI: https://doi.org/10.1090/S0025-5718-1969-0238462-6
- MathSciNet review: 0238462