Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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A certain method of construction of Thiele-Hermite continued fraction at a point

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Published Dec 15, 2023
DOI https://doi.org/10.15673/pigc.v16i3.2646

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Mykhailo Pahirya
Uzhhorod National University
https://orcid.org/0000-0003-1488-3302
Yuliia Myslo
Uzhhorod National University
https://orcid.org/0000-0001-6771-2844

Abstract

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.

Keywords:
Continued fraction, rational Thiele-Hermite interpolation, recurrence formulas

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How to Cite
Pahirya, M., & Myslo, Y. (2023). A certain method of construction of Thiele-Hermite continued fraction at a point. Proceedings of the International Geometry Center, 16(3-4), 244-261. https://doi.org/10.15673/pigc.v16i3.2646
Issue
Vol 16 No 3-4 (2023)
Section
Papers
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