| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2014 |
| Язык | русский |
|
Игудесман Константин Борисович, автор
Лавренов Роман Олегович, автор
|
|
Лавренов Роман Олегович, автор
|
| Библиографическое описание на языке оригинала |
Igudesman, Konstantin, Roman Lavrenov, and Victor Klassen. Novel Approach to Calculation of Box Dimension of Fractal Functions. Applied Mathematical Sciences 8.144 (2014): 7175-7181. |
| Аннотация |
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. |
| Ключевые слова |
Box dimension, fractal, approximation, Weierstrass function,
iterated function system, fractal interpolation, Minkowski dimension. |
| Название журнала |
Applied Mathematical Sciences
|
| URL |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84918769840&partnerID=40&md5=a0934823342de18f7c6ad8a80c3e7b98 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=107862 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Игудесман Константин Борисович |
ru_RU |
| dc.contributor.author |
Лавренов Роман Олегович |
ru_RU |
| dc.contributor.author |
Лавренов Роман Олегович |
ru_RU |
| dc.date.accessioned |
2014-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2014-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2014 |
ru_RU |
| dc.identifier.citation |
Igudesman, Konstantin, Roman Lavrenov, and Victor Klassen. Novel Approach to Calculation of Box Dimension of Fractal Functions. Applied Mathematical Sciences 8.144 (2014): 7175-7181. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=107862 |
ru_RU |
| dc.description.abstract |
Applied Mathematical Sciences |
ru_RU |
| dc.description.abstract |
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. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Box dimension |
ru_RU |
| dc.subject |
fractal |
ru_RU |
| dc.subject |
approximation |
ru_RU |
| dc.subject |
Weierstrass function |
ru_RU |
| dc.subject |
iterated function system |
ru_RU |
| dc.subject |
fractal interpolation |
ru_RU |
| dc.subject |
Minkowski dimension. |
ru_RU |
| dc.title |
Novel approach to calculation of box dimension of fractal functions |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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