Estimates of the rate of point wise and uniform convergence for one-periodic branched continued fractions of special form
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Abstract
A new formula for the difference between two approximants of one-periodic branched continued frac- tions 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
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Bodnar D.I., Bubnyak M.N. Estimates of the rate of point wise and uniform convergence for one-periodic branched continued fractions of special form // Journal of Mathematical, Vol. 208, No. 3, July, 2015.– P.289-300 (DOI: 10.1007/s10958-015-2446-x)