On the stability of the generalized sine functional equations

Authors
Kim, Gwang Hui
Citation
Kim, Gwang Hui, On the stability of the generalized sine functional equations, Acta mathematica Sinica. English series (Print) , 25(1), 2009, pp. 29-38
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
1
Year of publication
2009
Pages
29 - 38
Database
ACNP
SICI code
Abstract
The aim of this paper is to study the stability problem of the generalized sine functional equations as follows: g(x)f(y)=f(x+y2)2.f(x.y2)2,f(x)g(y)=f(x+y2)2.f(x.y2)2,g(x)g(y) =f(x+y2)2.f(x.y2)2. Namely, we have generalized the Hyers-Ulam stability of the (pexiderized) sine functional equation.