Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers

dc.contributor.author	Serbenyuk, S.O.
dc.date.accessioned	2018-07-10T17:02:36Z
dc.date.available	2018-07-10T17:02:36Z
dc.date.issued	2017
dc.identifier.citation	Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers / S.O. Serbenyuk // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 57-81. — Бібліогр.: 11 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI: doi.org/10.15407/mag13.01.057
dc.identifier.other	Mathematics Subject Classification 2000: 39B72, 26A27, 26A30, 11B34, 11K55
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140565
dc.description.abstract	The paper is devoted to one infinite parametric class of continuous functions with complicated local structure such that these functions are defined in terms of alternating Cantor series representation of numbers. The main attention is given to differential, integral and other properties of these functions. Conditions of monotony and nonmonotony are found. The functional equations system such that the function from the given class of functions is a solution of the system is indicated.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA