A generalization of the Hyers-Ulam-Rassias stability of the Pexiderized quadratic equations

被引：39

作者：

Jun, KW

Lee, YH ^{[1
]}

机构：

[1] Kongju Natl Univ Educ, Dept Math Educ, Kong Ju 314060, South Korea

[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 297卷 / 01期

关键词：

quadratic function; pexiderized quadratic equation;

D O I：

10.1016/j.jmaa.2004.04.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approximate remainder rho is defined by f(x * y) + f(x * y(-1)) - 2g(x) - 2g(y) = rho(x, y), f(x * y) + g(x * y(-1)) - 2h(x) - 2k(y) = rho(x, y), where (G, *) is a group, X is a real or complex Hausdorff topological vector space and f, g, h, k are functions from G into X. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：70 / 86

页数：17

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