ON THE STABILITY OF FUNCTIONAL EQUATIONS IN n-VARIABLES AND ITS APPLICATIONS
ON THE STABILITY OF FUNCTIONAL EQUATIONS IN n-VARIABLES AND ITS APPLICATIONS
In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form <TEX>$f(\varphi(X))\;=\;\phi(X)f(X)$</TEX>, where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers, Ulam, Rassias, and Gavruta for many other equations such as the gamma, beta, …