Stability of a Monomial Functional Equation on a Restricted Domain

Abstract

In this paper, we prove the stability of the following functional equation ∑ i = 0 n n C i ( − 1 ) n − i f ( i x + y ) − n ! f ( x ) = 0 on a restricted domain by employing the direct method in the sense of Hyers.

Keywords

• stability
• monomial functional equation
• direct method