The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-.-normed spaces

Authors
Wang, Li Guang Liu, Bo
Citation
Wang, Li Guang et Liu, Bo, The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-.-normed spaces, Acta mathematica Sinica. English series (Print) , 26(12), 2010, pp. 2335-2348
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
12
Year of publication
2010
Pages
2335 - 2348
Database
ACNP
SICI code
Abstract
In this paper, we investigate the Hyers-Ulam stability of the following function equation 2f(2x+y)+2f(2x.y)=4f(x+y)+4f(x.y)+4f(2x)+f(2y).8f(x).8f(y) in quasi-.-normed spaces.