On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation

Abstract

The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam−Rassias stability of the general quintic functional equation and the general sextic functional equation.

Keywords

• the stability of a functional equation
• general quintic functional equation
• a general quintic mapping
• general sextic functional equation
• a general sextic mapping