A Criterion of Convergence of a Branched Continued Fraction with Positive Elements


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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.

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D. Bodnar

Ternopil’ National Economic University

Email: Jade.Santos@springer.com
乌克兰, Ternopil’

O. Voznyak

Ternopil’ National Economic University

Email: Jade.Santos@springer.com
乌克兰, Ternopil’

R. Mykhal’chuk

Luts’k National Technical University

Email: Jade.Santos@springer.com
乌克兰, Luts’k

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