On the Stability of a Cubic Functional Equation

被引：14

作者：

Najati, Abbas ^{[1
]}

Park, Choonkil ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil, Iran

[2] Hanyang Univ, Dept Math, Seoul 133791, South Korea

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 12期

关键词：

Hyers-Ulam-Rassias stability; cubic functional equation;

D O I：

10.1007/s10114-008-6560-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will find out the general solution and investigate the generalized Hyers Ulam-Rassias stability problem for the following cubic functional equation 2f(x + 2y) + f(2x - y) = 5f(x + y) + 5f(x - y) + 15f(y) in the spirit of Hyers, Ulam, Rassias and Gavruta.

引用

页码：1953 / 1964

页数：12

共 29 条

[1]

Aczel J., 1989, FUNCTIONAL EQUATIONS

[2]

Amir D., 1986, Operator Theory Adv. Appl., V20

[3]

[Anonymous], B KOREAN MATH SOC

[4] Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces [J].