ON THE STABILITY OF AN n-DIMENSIONAL FUNCTIONAL EQUATION ORIGINATING FROM QUADRATIC FORMS

被引：16
|
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：
TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 07期
关键词：
Hyers-Ulam-Rassias stability; Quadratic function; 2-Variable quadratic functional equation;
D O I：
10.11650/twjm/1500405074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of an n-dimensional functional equation f(Sigma(n)(i=1) x(i), Sigma(n)(i=0) y(i)) + Sigma(1 <= i<j <= n) f(x(i) - x(j), y(i) - y(j)) = n Sigma(n)(i=1) f(x(i), y(i)), (n >= 2).
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页码：1609 / 1624
页数：16
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