Stability of a functional equation deriving from cubic and quartic functions (Q1008564)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of a functional equation deriving from cubic and quartic functions |
scientific article |
Statements
Stability of a functional equation deriving from cubic and quartic functions (English)
0 references
30 March 2009
0 references
Summary: We obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation \(4(f(3x+y)+f(3x - y))= - 12(f(x+y)+f(x - y))+12(f(2x+y)+f(2x - y)) - 8f(y) - 192f(x)+f(2y)+30f(2x).\)
0 references
cubic functional equation
0 references
generalized Ulam-Hyers stability
0 references
quartic functional equation
0 references
0 references
