A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF THE POPOVICIU FUNCTIONAL EQUATION

Abstract

In this paper we continue our investigations from [12], on the stability of the Popoviciu functional equation. Using ideas from the papers of Th. M. Rassias [10] and P. Gavruta [1], we prove a generalization of the stability of Popoviciu's equation in the spirit of Hyers, Ulam, Rassias, and Gavruta.