JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 22, no. 6, page. 1049-1054
Abstract
The aim of this paper is to present some results concerning the hyperstability of the generalized Cauchy functional equationf(ax + by) = Af(x) + Bf(y) + CNamely, we show, under some assumptions, that a function satisfying the equation approximately must be actually a solution to it.