On the Stability of a Cubic Functional Equation

被引:0
作者
Wiwatwanich, A. [1 ]
Nakmahachalasint, P. [1 ]
机构
[1] Chulalongkorn Univ, Dept Math, Bangkok, Thailand
来源
THAI JOURNAL OF MATHEMATICS | 2008年 / 6卷 / 03期
关键词
Cubic functional equation; Hyers-Ulam-Rassias stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish the general solution of the following cubic functional equation f(x + 3y) - 3f(x + y) + 3f(x - y) -f(x - 3y) = 48f(y) and examine its generalized Hyers-Ulam-Rassias stability problem on Banach spaces.
引用
收藏
页码:69 / 76
页数:8
相关论文
共 7 条
[1]   Stability for the functional equation of cubic type [J].
Chang, Ick-Soon ;
Jung, Yong-Soo .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :85-96
[2]  
Chang IS, 2005, MATH INEQUAL APPL, V8, P675
[3]  
Czerwik S., 2002, FUNCTIONAL EQUATIONS
[4]   On the stability of the linear functional equation [J].
Hyers, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224
[5]   The generalized Hyers-Ulam-Rassias stability of a cubic functional equation [J].
Jun, KW ;
Kim, HM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 274 (02) :867-878
[6]  
Rassias Th. M., 1978, AM MATH SOC, V72, P297
[7]  
Ulam SM, 1960, COLLECTION MATH PROB