Classification of the necessary tests of convergence in the theory of numerical series
The paper suggests three types of the necessary tests for the convergence of numerical series with positive terms. It is shown that these tests are consequences of the limit test of comparison with respect to the standard series: harmonic and logarithmic ones. The new tests have different capabi...
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| Date: | 2013 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут проблем штучного інтелекту МОН України та НАН України
2013
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| Series: | Искусственный интеллект |
| Subjects: | |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Класифікація необхідних умов збіжності в теорії числових рядів / L.P. Mironenko, I.V. Petrenko, A.Yu Vlasenko // Искусственный интеллект. — 2013. — № 3. — С. 294–299. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The paper suggests three types of the necessary tests for the convergence of numerical series with positive
terms. It is shown that these tests are consequences of the limit test of comparison with respect to the
standard series: harmonic and logarithmic ones. The new tests have different capabilities and can be applied
to almost any series, whose terms form a monotone sequence. |
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