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NOTES ON THE SUPERSTABILITY OF D'ALEMBERT TYPE FUNCTIONAL EQUATIONS

NOTES ON THE SUPERSTABILITY OF D'ALEMBERT TYPE FUNCTIONAL EQUATIONS

In this paper we will investigate the superstability of the generalized d'Alembert type functional equations <TEX>${\sum}^m_{i=1}f(x+{{\sigma}^i}(y))$</TEX> = kg(x)f(y) and <TEX>${\sum}^m_{i=1}f(x+{{\sigma}^i}(y))$</TEX> = kf(x)g(y).