# zbMATH — the first resource for mathematics

On the stability of $$n$$-dimensional quadratic functional equation. (English) Zbl 1101.39304
Summary: We investigate a generalization of the stability of a new quadratic functional equation $$f(\sum_{i=1}^n x_i) + \sum_{1 \leq i < j \leq n} f(x_i-x_j) = n \sum_{i=1}^n f(x_i) (n \geq 2)$$ in the spirits of Hyers, Ulam, Rassians and Gavruta.

##### MSC:
 39B52 Functional equations for functions with more general domains and/or ranges 39B72 Systems of functional equations and inequalities