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http://dx.doi.org/10.11568/kjm.2011.19.2.171

ON THE SUPERSTABILITY OF THE GENERALIZED SINE FUNCTIONAL EQUATIONS  

Han, Mi Hyun (Departament of Mathematics Chungnam National University)
Kim, Gwang Hui (Department of Mathematics Kangnam University)
Publication Information
Korean Journal of Mathematics / v.19, no.2, 2011 , pp. 171-180 More about this Journal
Abstract
In this paper, we study the superstability problem bounded by two-variables of Th. M. Rassias type for the generalized sine functional equations $$g(x+y)f(x-y)=f(x)^2-f(y)^2 \\ f(x+y)g(x-y)=f(x)^2-f(y)^2 \\ g(x+y)g(x-y)=f(x)^2-f(y)^2$$, which does not use his iteration method.
Keywords
sine functional equation; exponential; Hyers-Ulam-Rassias stability; superstability;
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