Відновлення функціональних закономірностей на основі многочленів Гегенбауера
The choice of a base approximating function in the recovery model of functional dependencies in additive and multiplicative forms as Gegenbauer polynomials is justified. A comparative analysis of the applications of the approximating functions with the results of approximation with the help of the C...
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| Date: | 2015 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Russian |
| Published: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2015
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| Online Access: | http://journal.iasa.kpi.ua/article/view/52080 |
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| Journal Title: | System research and information technologies |
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System research and information technologies| Summary: | The choice of a base approximating function in the recovery model of functional dependencies in additive and multiplicative forms as Gegenbauer polynomials is justified. A comparative analysis of the applications of the approximating functions with the results of approximation with the help of the Chebyshev and Legendre polynomials, who are special cases of Gegenbauer polynomials is performed. It is shown that the Gegenbauer polynomials are more versatile and comfortable, allowing for a constant computational complexity to achieve a high accuracy of approximation for a wide range of restored dependencies. |
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