Hyers-Ulam-Rassias Stability of a Quadratic and Additive Functional Equation in Quasi-Banach Spaces

被引：18

作者：

Moradlou, Fridoun ^{[1
]}

Vaezi, Hamid ^{[2
]}

Eskandani, G. Zamani ^{[2
]}

机构：

[1] Sahand Univ Technol, Dept Math, Tabriz, Iran

[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2009年 / 6卷 / 02期

关键词：

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

D O I：

10.1007/s00009-009-0007-6

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 integral(x + 2y) + integral(x - 2y) + 4 integral(x) = 3[integral(x + y) + integral(x - y)] + integral(2y) - 2 integral(y) and investigate the Hyers-Ulam-Rassias stability of this equation in quasi-Banach spaces. 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, Proc. Amer. Math. Soc. 72 (1978), 297-300.

引用

页码：233 / 248

页数：16

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