Journal of Mathematical Sciences

, Volume 208, Issue 3, pp 289–300 | Cite as

Estimates of the Rate of Pointwise and Uniform Convergence for One-Periodic Branched Continued Fractions of a Special Form

  • D. I. Bodnar
  • M. M. Bubnyak

A new formula for the difference between two approximants of one-periodic branched continued fractions of a special form is constructed. An estimate for the rate of pointwise and uniform convergence of fractions of this sort is obtained with the help of this formula.


Analytic Theory Uniform Convergence Continue Fraction Pointwise Convergence Closed Domain 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • D. I. Bodnar
    • 1
  • M. M. Bubnyak
    • 1
  1. 1.Ternopil’ National Economic UniversityTernopil’Ukraine

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