On a Cauchy-Jensen Functional Inequality

被引：0

作者：

Najati, Abbas ^{[1
]}

Lee, Jung-Rye ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil, Iran

[2] Daejin Univ, Dept Math, Kyenggi 487711, South Korea

[3] Hanyang Univ, Dept Math, Seoul 133791, South Korea

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2010年 / 33卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Generalized Hyers-Ulam stability; functional inequality; additive mapping in Banach modules over a C*-algebra; ULAM-RASSIAS STABILITY; APPROXIMATELY LINEAR MAPPINGS; BANACH-SPACES; ADDITIVE MAPPINGS; EQUATION; HOMOMORPHISMS; ALGEBRAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the following functional inequality parallel to f(x) + f(y) + 2f (x+y/2 + z)parallel to <= 2 parallel to f(x + y + z)parallel to in Banach modules over a C*-algebra, and prove the generalized Hyers-Ulam stability of additive mappings in Banach modules over a C*-algebra to approximate homomorphisms.

引用

页码：253 / 263

页数：11

共 42 条

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