Stability of an Euler-Lagrange type Cubic Functional Equation

被引：5
|
作者：
Najati, A. [1 ]
Moradlou, F. [2 ]
机构：
[1] Univ Mohaghegh A Dabili, Dept Math, Ardebil, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
TURKISH JOURNAL OF MATHEMATICS | 2009年 / 33卷 / 01期
关键词：
Hyers-Ulam-Rassias stability; cubic functional equation; ULAM-RASSIAS STABILITY;
D O I：
10.3906/mat-0802-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we wil find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for an Euler-Lagrange type cubic functional equation 2mf(x + my) + 2f(mx - y) = (m(3) + m)[f(x + y) + f(x - y)] + 2(m(4) - 1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m not equal 0, +/- 1.
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页码：65 / 73
页数：9
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