Regular Article
A Generalization of the Hyers–Ulam–Rassias Stability of the Pexider Equation

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Abstract

In this paper we prove a generalization of the stability of the Pexider equation f(x + y) = g(x) + h(y) in the spirit of Hyers, Ulam, Rassias, and Găvruta.

Keywords

Hyers–Ulam–Rassias stability
Jensen functional equation
Pexider equation

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Submitted by Themistocles, M. Rassias

1

E-mail address: [email protected].

2

E-mail address: [email protected].