New Approach to Fractal Approximation of Vector-Functions
This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions. Best values of fractal interpolation vector-functions parameters are found....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/278313 |
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| _version_ | 1832545593543622656 |
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| author | Konstantin Igudesman Marsel Davletbaev Gleb Shabernev |
| author_facet | Konstantin Igudesman Marsel Davletbaev Gleb Shabernev |
| author_sort | Konstantin Igudesman |
| collection | DOAJ |
| description | This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions. Best values of fractal interpolation vector-functions parameters are found. We give schemes of approximation of some sets of data and consider examples of approximation of smooth curves with different conditions. |
| format | Article |
| id | doaj-art-a0d6b9d4917e437ab6a0beead7c0995f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a0d6b9d4917e437ab6a0beead7c0995f2025-02-03T07:25:23ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/278313278313New Approach to Fractal Approximation of Vector-FunctionsKonstantin Igudesman0Marsel Davletbaev1Gleb Shabernev2Geometry Department, Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan 420008, RussiaKazan (Volga Region) Federal University, IT-Lyceum of Kazan University, Kazan 420008, RussiaDepartment of Autonomous Robotic Systems, High School of Information Technologies and Information Systems, Kazan (Volga Region) Federal University, Kazan 420008, RussiaThis paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions. Best values of fractal interpolation vector-functions parameters are found. We give schemes of approximation of some sets of data and consider examples of approximation of smooth curves with different conditions.http://dx.doi.org/10.1155/2015/278313 |
| spellingShingle | Konstantin Igudesman Marsel Davletbaev Gleb Shabernev New Approach to Fractal Approximation of Vector-Functions Abstract and Applied Analysis |
| title | New Approach to Fractal Approximation of Vector-Functions |
| title_full | New Approach to Fractal Approximation of Vector-Functions |
| title_fullStr | New Approach to Fractal Approximation of Vector-Functions |
| title_full_unstemmed | New Approach to Fractal Approximation of Vector-Functions |
| title_short | New Approach to Fractal Approximation of Vector-Functions |
| title_sort | new approach to fractal approximation of vector functions |
| url | http://dx.doi.org/10.1155/2015/278313 |
| work_keys_str_mv | AT konstantinigudesman newapproachtofractalapproximationofvectorfunctions AT marseldavletbaev newapproachtofractalapproximationofvectorfunctions AT glebshabernev newapproachtofractalapproximationofvectorfunctions |