Solution and stability of a cubic functional equation

Authors
Jun, Kil Woung Lee, Sang Baek Park, Won Gil
Citation
Jun, Kil Woung et al., Solution and stability of a cubic functional equation, Acta mathematica Sinica. English series (Print) , 26(7), 2010, pp. 1255-1262
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
7
Year of publication
2010
Pages
1255 - 1262
Database
ACNP
SICI code
Abstract
In this paper, we investigate the general solution and the stability of a cubic functional equation f(x+ny)+f(x.ny)+f(nx)=n2f(x+y)+n2f(x.y)+(n3.2n2+2)f(x), where n . 2 is an integer. Furthermore, we prove the stability by the fixed point method.