Email this article A Criterion of Convergence of a Branched Continued Fraction with Positive Elements
- Authors: Bodnar D.I.1, Voznyak O.H.1, Mykhal’chuk R.I.2
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Affiliations:
- Ternopil’ National Economic University
- Luts’k National Technical University
- Issue: Vol 222, No 1 (2017)
- Pages: 70-80
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239151
- DOI: https://doi.org/10.1007/s10958-017-3283-x
- ID: 239151
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Abstract
An inequality for harmonic means is proved and used to establish a sufficient criterion of convergence and to estimate the rate of convergence of branched continued fractions with positive components.
About the authors
D. I. Bodnar
Ternopil’ National Economic University
Email: Jade.Santos@springer.com
Ukraine, Ternopil’
O. H. Voznyak
Ternopil’ National Economic University
Email: Jade.Santos@springer.com
Ukraine, Ternopil’
R. I. Mykhal’chuk
Luts’k National Technical University
Email: Jade.Santos@springer.com
Ukraine, Luts’k
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