THE ADDITIVE APPROXIMATION ON A SEVEN VARIABLE JENSEN TYPE FUNCTIONAL EQUATION

Abstract

We investigate the Hyers-Ulam stability of a 7-variate Jensen type functional equation, getting the corresponding error formulas in which the homogeneity of the F- norm is closely associated with the approximate remainder Á. Finally, we make sure pi's area in which the Hyers-Ulam stability is affirmative or negative where pi for i = 1,2,... 7 can be different.