SUPERSTABILITY OF THE PEXIDER TYPE SINE FUNCTIONAL EQUATIONS
Keywords:
stability, superstability, sine functional equation, cosine functional equationAbstract
In this paper, we find solutions and investigate the superstability bounded by function for the sine functional equation (S) from the approximate inequality of the Pexider type functional equation: Furthermore, the results are extended to Banach algebras. As a consequence, we obtain the superstability for the exponential functional equations, the hyperbolic functional equations, and the jointed Pexider Lobacevski equation