On the effectiveness of comparison tests for convergence of series (Q2752307)
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scientific article; zbMATH DE number 1660798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the effectiveness of comparison tests for convergence of series |
scientific article; zbMATH DE number 1660798 |
Statements
29 May 2002
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convergence of series
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Baire categories
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comparison test
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Banach spaces
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0.94355947
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0.89283365
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0.89191526
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On the effectiveness of comparison tests for convergence of series (English)
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\textit{J. Belasová}, \textit{J. Ewert} and \textit{T. Šalát} [Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 33(81), No. 1, 3-8 (1989; Zbl 0696.40002)] studied the effectiveness of the D'Alembert, Cauchy and Raabe tests from the point of view of Baire categories. The author extends this investigation to a comparison test and obtains some general results (for series in Banach spaces) from which the results of [op. cit.] can be deduced as corollaries.
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