Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces

被引：92

作者：

Gordji, M. Eshaghi ^{[1
]}

Khodaei, H. ^{[1
]}

机构：

[1] Semnan Univ, Dept Math, Semnan, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 11期

关键词：

Hyers-Ulam-Rassias stability; Quadratic function; Cubic function; ULAM STABILITY;

D O I：

10.1016/j.na.2009.04.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability of the following functional equation f(x + ky) + f(x - ky) = k(2)f(x + y) + k(2)f(x - y) + 2(1 - k(2))f(x) for fixed integers k with k not equal 0, +/- 1 in the quasi-Banach spaces. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：5629 / 5643

页数：15

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