Про подання нелінійних функцій рядами часткової потужності
A method for approximation of relationships by polynomials containing fractional-power terms is proposed, which in many cases makes it possible to cut down the number of computations. The proposed method for representation of relations by fractional-power polynomials features a smaller number of exp...
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| Datum: | 2014 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Kamianets-Podilskyi National Ivan Ohiienko University
2014
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| Online Zugang: | http://mcm-tech.kpnu.edu.ua/article/view/37771 |
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| Назва журналу: | Mathematical and computer modelling. Series: Technical sciences |
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Mathematical and computer modelling. Series: Technical sciences| _version_ | 1856543149984317440 |
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| author | Verlan, Andrey Anatolievich Sterten, Jo |
| author_facet | Verlan, Andrey Anatolievich Sterten, Jo |
| author_sort | Verlan, Andrey Anatolievich |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2019-03-06T10:53:50Z |
| description | A method for approximation of relationships by polynomials containing fractional-power terms is proposed, which in many cases makes it possible to cut down the number of computations. The proposed method for representation of relations by fractional-power polynomials features a smaller number of expansion terms while the approximation precision being the same as in the case of the «classical» methods. The method for finding the parameters of such expansions is considered; generalized spline of fractional order (smaller than or equal to unity) is defined. The experimental results on approximation of relations by fractional splines are presented |
| first_indexed | 2025-07-17T10:12:49Z |
| format | Article |
| id | mcmtechkpnueduua-article-37771 |
| institution | Mathematical and computer modelling. Series: Technical sciences |
| language | English |
| last_indexed | 2025-07-17T10:12:49Z |
| publishDate | 2014 |
| publisher | Kamianets-Podilskyi National Ivan Ohiienko University |
| record_format | ojs |
| spelling | mcmtechkpnueduua-article-377712019-03-06T10:53:50Z On the Representation of Non-linear Functions by Fractional-power Series Про подання нелінійних функцій рядами часткової потужності Verlan, Andrey Anatolievich Sterten, Jo approximation non-liner relationships fractional-power series splines approximation non-liner relationships fractional-power series splines A method for approximation of relationships by polynomials containing fractional-power terms is proposed, which in many cases makes it possible to cut down the number of computations. The proposed method for representation of relations by fractional-power polynomials features a smaller number of expansion terms while the approximation precision being the same as in the case of the «classical» methods. The method for finding the parameters of such expansions is considered; generalized spline of fractional order (smaller than or equal to unity) is defined. The experimental results on approximation of relations by fractional splines are presented A method for approximation of relationships by polynomials containing fractional-power terms is proposed, which in many cases makes it possible to cut down the number of computations. The proposed method for representation of relations by fractional-power polynomials features a smaller number of expansion terms while the approximation precision being the same as in the case of the «classical» methods. The method for finding the parameters of such expansions is considered; generalized spline of fractional order (smaller than or equal to unity) is defined. The experimental results on approximation of relations by fractional splines are presented. Kamianets-Podilskyi National Ivan Ohiienko University 2014-09-12 Article Article application/pdf http://mcm-tech.kpnu.edu.ua/article/view/37771 10.32626/2308-5916.2014-11.194-198 Mathematical and computer modelling. Series: Technical sciences; 2014: Mathematical and computer modelling. Series: Technical sciences. Issue 11; 194-198 Математичне та комп'ютерне моделювання. Серія: Технічні науки ; 2014: Математичне та комп'ютерне моделювання. Серія: Технічні науки. Випуск 11; 194-198 2308-5916 10.32626/2308-5916.2014-11 en http://mcm-tech.kpnu.edu.ua/article/view/37771/33949 Авторське право (c) 2021 Математичне та комп'ютерне моделювання. Серія: Технічні науки |
| spellingShingle | approximation non-liner relationships fractional-power series splines Verlan, Andrey Anatolievich Sterten, Jo Про подання нелінійних функцій рядами часткової потужності |
| title | Про подання нелінійних функцій рядами часткової потужності |
| title_alt | On the Representation of Non-linear Functions by Fractional-power Series |
| title_full | Про подання нелінійних функцій рядами часткової потужності |
| title_fullStr | Про подання нелінійних функцій рядами часткової потужності |
| title_full_unstemmed | Про подання нелінійних функцій рядами часткової потужності |
| title_short | Про подання нелінійних функцій рядами часткової потужності |
| title_sort | про подання нелінійних функцій рядами часткової потужності |
| topic | approximation non-liner relationships fractional-power series splines |
| topic_facet | approximation non-liner relationships fractional-power series splines approximation non-liner relationships fractional-power series splines |
| url | http://mcm-tech.kpnu.edu.ua/article/view/37771 |
| work_keys_str_mv | AT verlanandreyanatolievich ontherepresentationofnonlinearfunctionsbyfractionalpowerseries AT stertenjo ontherepresentationofnonlinearfunctionsbyfractionalpowerseries AT verlanandreyanatolievich propodannânelíníjnihfunkcíjrâdamičastkovoípotužností AT stertenjo propodannânelíníjnihfunkcíjrâdamičastkovoípotužností |