The summation of alternating and monotonic series (Q1099920)
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scientific article; zbMATH DE number 4043132
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The summation of alternating and monotonic series |
scientific article; zbMATH DE number 4043132 |
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The summation of alternating and monotonic series (English)
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1988
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The author propounds an improved convergence acceleration method for alternating series, and an efficient convergence acceleration technique which is valid for many monotonic series. In essence this technique obtains from the positive terms of the monotonic series an alternating sequence of convergents, which are then handled by the method for alternating series or sequences. The methods are based on properties of the shifted Legendre polynomials.
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convergence acceleration
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alternating series
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monotonic series
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shifted Legendre polynomials
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