Jacobsthal-Lucas series and their applications
In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence. In particular, we consider the properties of the set of incomplete sums as well as their applications. We prove that the set of incomplete sums of this series is...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156645 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Jacobsthal-Lucas series and their applications / M. Pratsiovytyi, D. Karvatsky // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 169-180. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553479846821888 |
|---|---|
| author | Pratsiovytyi, M. Karvatsky, D. |
| author_facet | Pratsiovytyi, M. Karvatsky, D. |
| citation_txt | Jacobsthal-Lucas series and their applications / M. Pratsiovytyi, D. Karvatsky // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 169-180. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence. In particular, we consider the properties of the set of incomplete sums as well as their applications. We prove that the set of incomplete sums of this series is a nowhere dense set of positive Lebesgue measure. Also we study singular random variables of Cantor type related to Jacobsthal-Lucas sequence.
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| first_indexed | 2025-11-25T21:08:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156645 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T21:08:31Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Pratsiovytyi, M. Karvatsky, D. 2019-06-18T18:21:25Z 2019-06-18T18:21:25Z 2017 Jacobsthal-Lucas series and their applications / M. Pratsiovytyi, D. Karvatsky // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 169-180. — Бібліогр.: 8 назв. — англ. 1726-3255 2010 MSC:11B83, 11B39, 60G50. https://nasplib.isofts.kiev.ua/handle/123456789/156645 In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence. In particular, we consider the properties of the set of incomplete sums as well as their applications. We prove that the set of incomplete sums of this series is a nowhere dense set of positive Lebesgue measure. Also we study singular random variables of Cantor type related to Jacobsthal-Lucas sequence. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Jacobsthal-Lucas series and their applications Article published earlier |
| spellingShingle | Jacobsthal-Lucas series and their applications Pratsiovytyi, M. Karvatsky, D. |
| title | Jacobsthal-Lucas series and their applications |
| title_full | Jacobsthal-Lucas series and their applications |
| title_fullStr | Jacobsthal-Lucas series and their applications |
| title_full_unstemmed | Jacobsthal-Lucas series and their applications |
| title_short | Jacobsthal-Lucas series and their applications |
| title_sort | jacobsthal-lucas series and their applications |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156645 |
| work_keys_str_mv | AT pratsiovytyim jacobsthallucasseriesandtheirapplications AT karvatskyd jacobsthallucasseriesandtheirapplications |