On the Hyers-Ulam-Rassias stability of functional equations in n-variables

被引：5

作者：

Kim, GH ^{[1
]}

机构：

[1] Kangnam Univ, Dept Math, Suwon 449702, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 299卷 / 02期

关键词：

functional equation; gamma; beta; and G-function; Hyers-Ulam stability; Hyers-Ulam-Rassias stability;

D O I：

10.1016/j.jmaa.2004.02.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form f(phi(X)) = phi (X) f (X) + psi (X) and the stability in the sense of Ger for the functional equation of the form f (phi(X)) = phi (X) f (X), where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers-Ulam-Rassias, Gavruta, and Ger for some well-known equations such as the gamma, beta, and G-function type's equations. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：375 / 391

页数：17

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