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DC Field | Value | Language |
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dc.contributor.author | Pratsiovytyi, M. | - |
dc.contributor.author | Karvatsky, D. | - |
dc.date.accessioned | 2019-12-19T11:17:20Z | - |
dc.date.available | 2019-12-19T11:17:20Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4582 | - |
dc.description | Pratsiovytyi M. Jacobsthal-Lucas series and their applications / M.Pratsiovytyi, D.Karvatsky // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 1. - Рp. 169-180 | uk_UA |
dc.description.abstract | In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence (Jn+2 = 2Jn+1 + Jn, J1 = 2, J2 = 1). 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. | uk_UA |
dc.language.iso | en | uk_UA |
dc.publisher | ДЗ"ЛНУ імені Тараса Шевченко" | uk_UA |
dc.relation.ispartofseries | Математичні науки; | - |
dc.subject | Jacobsthal-Lucas sequence | uk_UA |
dc.subject | the set of incomplete sums | uk_UA |
dc.subject | singular random variable | uk_UA |
dc.subject | Hausdorff-Besicovitch dimension | uk_UA |
dc.title | Jacobsthal-Lucas series and their applications | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (24). - 2017 |
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File | Description | Size | Format | |
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297-1803-1-PB.pdf | 324 kB | Adobe PDF | View/Open |
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