Error Estimate for the Displacement Method

Resumo

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.