A certain method of construction of Thiele-Hermite continued fraction at a point
The problem of interpolation of the function of a complex variable at a point of a compact set by the Thiele-Hermite continued fraction is investigated. Formulas for calculating the coefficients of the continued fraction based on values of the function and its derivates at a point are obtained. Seve...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2023-12-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2646 |
| _version_ | 1797390221593018368 |
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| author | Mykhailo Pahirya Yuliia Myslo |
| author_facet | Mykhailo Pahirya Yuliia Myslo |
| author_sort | Mykhailo Pahirya |
| collection | DOAJ |
| description | The problem of interpolation of the function of a complex variable at a point of a compact set by the Thiele-Hermite continued fraction is investigated. Formulas for calculating the coefficients of the continued fraction based on values of the function and its derivates at a point are obtained. Several examples of computations are provided. |
| first_indexed | 2024-03-08T23:08:37Z |
| format | Article |
| id | doaj.art-7f095cd01dc042f69ac602177e893a54 |
| institution | Directory Open Access Journal |
| issn | 2072-9812 2409-8906 |
| language | English |
| last_indexed | 2024-03-08T23:08:37Z |
| publishDate | 2023-12-01 |
| publisher | Odesa National University of Technology |
| record_format | Article |
| series | Pracì Mìžnarodnogo Geometričnogo Centru |
| spelling | doaj.art-7f095cd01dc042f69ac602177e893a542023-12-15T10:27:49ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062023-12-01163-424426110.15673/pigc.v16i3.26462646A certain method of construction of Thiele-Hermite continued fraction at a pointMykhailo Pahirya0Yuliia Myslo1Uzhhorod National UniversityUzhhorod National UniversityThe problem of interpolation of the function of a complex variable at a point of a compact set by the Thiele-Hermite continued fraction is investigated. Formulas for calculating the coefficients of the continued fraction based on values of the function and its derivates at a point are obtained. Several examples of computations are provided.https://journals.ontu.edu.ua/index.php/geometry/article/view/2646continued fractionrational thiele-hermite interpolationrecurrence formulas |
| spellingShingle | Mykhailo Pahirya Yuliia Myslo A certain method of construction of Thiele-Hermite continued fraction at a point Pracì Mìžnarodnogo Geometričnogo Centru continued fraction rational thiele-hermite interpolation recurrence formulas |
| title | A certain method of construction of Thiele-Hermite continued fraction at a point |
| title_full | A certain method of construction of Thiele-Hermite continued fraction at a point |
| title_fullStr | A certain method of construction of Thiele-Hermite continued fraction at a point |
| title_full_unstemmed | A certain method of construction of Thiele-Hermite continued fraction at a point |
| title_short | A certain method of construction of Thiele-Hermite continued fraction at a point |
| title_sort | certain method of construction of thiele hermite continued fraction at a point |
| topic | continued fraction rational thiele-hermite interpolation recurrence formulas |
| url | https://journals.ontu.edu.ua/index.php/geometry/article/view/2646 |
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