Novel approach to calculation of box dimension of fractal functions

dc.contributor.author	Igudesman K.
dc.contributor.author	Lavrenov R.
dc.contributor.author	Klassen V.
dc.date.accessioned	2018-09-18T20:21:32Z
dc.date.available	2018-09-18T20:21:32Z
dc.date.issued	2014
dc.identifier.issn	1312-885X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/139046
dc.description.abstract	© 2014 Konstantin Igudesman, Roman Lavrenov and Victor Klassen. We introduce new method of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions. Provide a comparison of the effectiveness of the traditional method of calculating the box dimension to our new approach. On the example of the Weierstrass function we show that the new method almost 3 times more effective than classical.
dc.relation.ispartofseries	Applied Mathematical Sciences
dc.subject	Approximation
dc.subject	Box dimension
dc.subject	Fractal
dc.subject	Fractal interpolation
dc.subject	Iterated function system
dc.subject	Minkowski dimension
dc.subject	Weierstrass function
dc.title	Novel approach to calculation of box dimension of fractal functions
dc.type	Article
dc.relation.ispartofseries-issue	141-144
dc.relation.ispartofseries-volume	8
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	7175
dc.source.id	SCOPUS1312885X-2014-8-141-144-SID84918769840

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.