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
收藏
页码：253 / 263
页数：11
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