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....
Збережено в:
| Дата: | 2019 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Теми: | |
| Онлайн доступ: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/75 |
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| Назва журналу: | Physico-mathematical modeling and informational technologies |
Репозитарії
Physico-mathematical modeling and informational technologies| Резюме: | 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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