On Some Sequences of the Sets of Uniform Convergence for Two-Dimensional Continued Fractions

Truncation error bounds for branched continued fraction whose partial denominators are equal to unity

“…The paper is a continuation of work [4], which is related with research initiated in [1,2]. To study convergence of (1) we use the fundamental inequalities method (see [1,2,5,6,11]). An important component of the above mentioned method is the estimation of the so-called 'tails', which for the BCF (1) can be determined as follows:…”