Korean J. Math. Vol. 19 No. 2 (2011) pp.171-180
DOI: https://doi.org/10.11568/kjm.2011.19.2.171

ON THE SUPERSTABILITY OF THE GENERALIZED SINE FUNCTIONAL EQUATIONS

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Mi Hyun Han
Gwang Hui Kim

Abstract

Inthispaper,westudythesuperstabilityproblembounded by two-variables of Th. M. Rassias type for the generalized sine func- tional 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.



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