Stability of a quadratic functional equation in quasi-Banach spaces

被引：6
|
作者：
Najati, Abbas [1 ]
Moradlou, Fridoun [2 ]
机构：
[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardabil, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 03期
关键词：
Hyers-Ulam-Rassias stability; quadratic function; quasi-Banach space; p-Banach space;
D O I：
10.4134/BKMS.2008.45.3.587
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 and investigate the Hyers-Ulam-Rassias stability of the following functional equation in quasi-Banach spaces. [GRAPHICS] where I-ij = {1,2,3,4}\{i,j} for all 1 <= i < j <= 4. The concept, of Hyers-Ulam-Rassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces.
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页码：587 / 600
页数：14
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