Asymptotic properties of solutions of the discrete analogue of the Emden-Fowler equation

This contribution is devoted to the investigation of the asymptotic behavior of the solution of a special type of second-order difference equation. The considered equation is the discrete analogue of the Emden-Fowler differential equation. In paper [9] the authors have already found some asymptotic estimates of its solution. The aim of the presented paper is to improve these estimates.