On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings

Authors
Wang, Li Guang Xu, Kun Peng Liu, Qiu Wen
Citation
Wang, Li Guang et al., On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings, Acta mathematica Sinica. English series (Print) , 30(6), 2014, pp. 1033-1049
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
6
Year of publication
2014
Pages
1033 - 1049
Database
ACNP
SICI code
Abstract
In this paper, we investigate the general solution and the Hyers-Ulam stability of the following mixed functional equation $f(2x + y) + f(2x - y) = 2f(2x) + 2f(x + y) + 2f(x - y) - 4f(x) - f(y) - f( - y)$ deriving from additive, quadratic and cubic mappings on Banach spaces.