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

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

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

Keywords:

Hyers--Ulam--Rassias stability, Quadratic function, Cubic function,

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