An integral interpolation chain fraction of the Thiele type

Authors

  • V. L. Makarov Institute of Mathematics of the NAS of Ukraine, Кiev
  • I. I. Demkiv Lviv Polytechnic National University

DOI:

https://doi.org/10.15407/dopovidi2016.01.012

Keywords:

continued fraction, interpolation points, Thiele fraction

Abstract

An integral interpolation chain fraction of the Thiele type has been constructed. This fraction is a natural generalization of the classical Thiele contiunued fraction.

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References

Levrie P., Bultheel A. Numerical Algorithms, 1993, 4, Iss. 2: 225–239. doi: https://doi.org/10.1007/BF02144105

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Gensane Th. Numerical Algorithms, 2012, 60, Iss. 3: 523–529. doi: https://doi.org/10.1007/s11075-011-9528-8

Makarov V. L., Khlobistov V. V., Demkiv I. I. Reports of the National Academy of Sciences of Ukraine, 2007, 8: 21–25 (in Ukrainian).

Makarov V. L., Demkiv I. I. Reports of the National Academy of Sciences of Ukraine, 2008, 11: 17–23 (in Ukrainian).

Skorobogat'ko V.Ya. Theory of Branching Continued Fractions and Its Application in Computational Mathematics, Moscow: Nauka, 1983 (in Russian).

Jones W., Tron W. Continued fractions. Analytic theory and applications, Moscow: Mir, 1985 (in Russian).

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Published

29.09.2024

How to Cite

Makarov, V. L., & Demkiv, I. I. (2024). An integral interpolation chain fraction of the Thiele type . Reports of the National Academy of Sciences of Ukraine, (1), 12–18. https://doi.org/10.15407/dopovidi2016.01.012

Issue

No. 1 (2016): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

License

Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine

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