Jacobsthal-Lucas series and their applications

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