Approximate mixed type additive and quartic functional equation

Abstract

In the current work, we introduce a general form of a mixed additive and quartic functional equation. We determine all solutions of this functional equation. We also establish the generalized Hyers-Ulam stability of this new functional equation in quasi-$\beta$-normed spaces.

Keywords

• Additive functional equation
• Hyers-Ulam stability
• Quartic functional equation
• Quasi-$\beta$-normed space.