Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces

被引：97

作者：

Najati, Abbas ^{[1
]}

Moghimi, Mohammad B. ^{[1
]}

机构：

[1] Univ Mohaghegh, Dept Math, Fac Sci, Ardebili, Iran

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 01期

关键词：

Hyers-Ulam-Rassias stability; quadratic function; additive function; quasi-Banach space; p-Banach space;

D O I：

10.1016/j.jmaa.2007.03.104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish the general solution of the functional equation f (2x + y) + f (2x - y) = f (x + y) + f (x - y) + 2f (2x) - 2f (x) and investigate the Hyers-Ulam-Rassias stability of this equation in quasi-Banach spaces. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：399 / 415

页数：17

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