Степеневі множники у підсумовуванні тригонометричних рядів
In this article we review the methods of power summation of factors. The degree of factors whichare arbitrary powers of summation indices are considered. We show that using the Poisson-Abelmethod only those series can be summarized the order of member increase of which isproportional to the exponent...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2018
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/38 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | In this article we review the methods of power summation of factors. The degree of factors whichare arbitrary powers of summation indices are considered. We show that using the Poisson-Abelmethod only those series can be summarized the order of member increase of which isproportional to the exponent depending on the summation index. At the same time the Gauss-Weierstrass method and other power factors methods can be also applied to the series the terms ofwhich increase in proportion to the exponential dependence of the indices summation. |
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