The problem of constructing an explicit formula for a majorant of a number sequence specified by recurrence relations is considered. Problems of this kind arise when estimating the error of recursive methods for calculating certain functions of a real variable. A special approach to studying the given recurrence relations is proposed in this work, based on which it is established that a majorant can be provided by a quite specific formula and belongs to the class of subexponential functions.

中文翻译：

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位移法的误差估计

考虑了为由递归关系指定的数字序列的主要部分构造显式公式的问题。当估计用于计算实变量的某些函数的递归方法的误差时，会出现此类问题。在这项工作中，提出了一种研究给定递归关系的特殊方法，在此基础上，可以确定一个主要变量可以由一个非常特定的公式提供，并且属于次指数函数类。