Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces

Abstract

In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces.

Keywords

• additive functional equation
• quadratic functional equation
• hyers-ulam stability
• quasi-banach space
• p-banach space