A generalized additive-quartic functional equation and its stability. (English) Zbl 1334.39059
This paper is concerned with a class of generalized additive-quartic functional equations and its stability. Some existence and stability results for this equation are obtained without assuming any regularity on the unknown function \(f: \mathbb R \to \mathbb R\), which generalize and complement some known results.
Reviewer: Qi Wang (Hefei)
MSC:
39B82 | Stability, separation, extension, and related topics for functional equations |
39B22 | Functional equations for real functions |
39B55 | Orthogonal additivity and other conditional functional equations |