International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 229-236
doi:10.1155/S0161171295000287

On a general Hyers-Ulam stability result

Costanza Borelli and Gian Luigi Forti

Dipartimento di Matematica, Universita degli Studi di Milano, via C. Saldini, 50, Milano I-20133, Italy

Abstract

In this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.