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).

引用

页码：1609 / 1624

页数：16