The proof of an equivalence of D’alembert’s and Cauchy’s tests in the theory of numerical series
In the paper it is shown that D’alembert’s test and Cauchy’s radical test are not independent one from another. It is proposed a transition scheme from one test to another and vice versa. The equivalence of the tests is proved for series with the monotonically decreasing terms. This fact is used t...
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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут проблем штучного інтелекту МОН України та НАН України
2013
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| Series: | Искусственный интеллект |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/85175 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The proof of an equivalence of D’alembert’s and Cauchy’s tests in the theory of numerical series / L.P. Mironenko // Искусственный интеллект. — 2013. — № 3. — С. 507–511. — Бібліогр.: 5 назв. — англ. |