Truncation error bounds for branched continued fraction $\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{a_{i(2)}}{1}{\atop+}\sum_{i_3=1}^{i_2}\frac{a_{i(3)}}{1}{\atop+}\ldots$

• Дата: 2020
• Автори: Antonova, T. M., Dmytryshyn, R. I., Антонова, Т. М., Дмитришин, Р. I.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2020
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2342
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 The paper deals with the problem of estimating the error of approximation of a branched continued fraction, which is a generalization of a continued fraction. Using the method of fundamental inequalities, truncation error bounds for branched continued fraction $\sum_{i_1=1}^N\frac{a_{i(1)}...