The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

doi:10.1016/S0022-247X(02)00415-8

Journal of Mathematical Analysis and Applications

Volume 274, Issue 2, 15 October 2002, Pages 867-878

Submitted by S.R. Grace

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Abstract

In this paper, we obtain the general solution and the generalized Hyers–Ulam stability for a cubic functional equation $f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x)$ .

Keywords

Hyers–Ulam–Rassias stability

Quadratic function

Cubic function

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^☆: This work was supported by grant No. R02-2000-00005 from the KOSEF.

Journal of Mathematical Analysis and Applications

The generalized Hyers–Ulam–Rassias stability of a cubic functional equation☆

Abstract

Keywords