Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces

Authors
Xu, Tian Zhou
Citation
Xu, Tian Zhou, Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces, Acta mathematica Sinica. English series (Print) , 28(3), 2012, pp. 529-560
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
28
Issue
3
Year of publication
2012
Pages
529 - 560
Database
ACNP
SICI code
Abstract
In this paper, we establish a general solution and the generalized Hyers-Ulam-Rassias stability of the following general mixed additive-cubic functional equation f(kx+y)+f(kx.y)=kf(x+y)+kf(x.y)+2f(kx).2kf(x) in the quasi-Banach spaces