Підсумовування тригонометричних рядів методами степеневих множників
The methods of power summation of factors, degree of factors which are arbitrary powers of summationindices are reviewed. It is shown that by Poisson-Abel method only those series can besummarized the order of member increase of which is proportional to the exponent depending onthe summation index....
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| Datum: | 2019 |
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| Автори та афіліації: |
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| Ключові слова: | keywords |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Online Zugang: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/75 |
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| Назва журналу: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Zusammenfassung: | The methods of power summation of factors, degree of factors which are arbitrary powers of summationindices are reviewed. It is shown that by Poisson-Abel method only those series can besummarized the order of member increase of which is proportional to the exponent depending onthe summation index. Gauss-Weierstrass method and other power factors methods can be alsoapplied to the series the terms of which increase in proportion to the exponential dependence ofthe indices summation. |
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