A Criterion of Convergence of a Branched Continued Fraction with Positive Elements
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Springer Science+Buziness Media New York
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.
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Bodnar, D.I. A Criterion of Convergence of a Branched Continued Fraction with Positive Elements [Text] / D.I. Bodnar, О.H. Voznyak, R.I. Mykhal'chuk // Journal of Mathematical Sciences. Springer Science+Buziness Media New York, 2017. – Vol.222. – No.1. – P. 70-80.