@article{Dmytryshyn_Antonova_2020, title={Truncation error bounds for branched continued fraction whose partial denominators are equal to unity}, volume={54}, url={http://matstud.org.ua/ojs/index.php/matstud/article/view/37}, DOI={10.30970/ms.54.1.3-14}, abstractNote={<p><span style="background-color: #ffffff;">The paper deals with the problem of obtaining error bounds for branched continued fraction of the form $\sum_{i_1=1}^N\frac{a_{i(1) }{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{a_{i(2) }{1}{\atop+}\sum_{i_3=1}^{i_2}\frac{a_{i(3) }{1}{\atop+}\ldots$. By means of fundamental inequalities method the truncation error bounds are obtained for the above mentioned branched continued fraction providing its elements belong to some rectangular sets of<br>a complex plane. Applications are considered for several classes of branched continued fraction expansions including the multidimensional \emph{S}-, \emph{A}-, \emph{J}-fractions with independent variables.</span></p>}, number={1}, journal={Matematychni Studii}, author={Dmytryshyn, R. I. and Antonova, T. M.}, year={2020}, month={Oct.}, pages={3-14} }