Stability Problem for the Nonlinear Functional Equation

We discuss on the stability for functional equations in a single variable. We will prove the theorem about the stability of the nonlinear functional equation from which we can derive the result obtained by T. Trif (Publ Math Debrecen 60:47-61, 2002) on the stability of the linear functional equation.

Automated summary

This article discusses the stability of functional equations in a single variable, and proves a theorem on the stability of the nonlinear functional equation, which can be used to derive the stability result of the linear functional equation obtained by T. Trif in Publ Math Debrecen 60:47-61, 2002.