Dergiler / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 4

The Generalized Hyers--Ulam--Rassias Stability of a Cubic Functional Equation

Sayfa
395–408
DOI
—

Özet

In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x) for a positive integer m \geq 1.

Abstract

In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x) for a positive integer m \geq 1.

Anahtar kelimeler: Hyers--Ulam--Rassias stability, Quadratic function, Cubic function