On Drygas functional equation on groups

被引：0

作者：

Faiziev, Valerii A. ^{[1
]}

Sahoo, Prasanna K. ^{[2
]}

机构：

[1] Tver State Agr Acad, Tver Sakharovo, Russia

[2] Univ Louisville, Dept Math, Louisville, KY 40292 USA

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2007年 / 7卷 / F07期

关键词：

Additive character of a group; bihomomorphism; Drygas functional equation; free group; homomorphism; Jensen functional equation; n-Abelian group; and quadratic functional equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Drygas (1987) introduced the functional equation f(xy) + f(xy(-1)) = 2f(x) + f(y) + f(y(-1)) in connection with the characterization of quasi-inner-product spaces. In this paper, we study the system of functional equations f(xy) + f(xy-1) = 2f(x) + f(y) + f(y-1) and f(yx) + f(y(-1)x) = 2f(x) + f(y) + f(y(-1)) on groups. Here f is a real-valued function that takes values on a group. On groups, this system generalizes the functional equation introduced by Drygas.

引用

页码：59 / 69

页数：11

共 16 条

[1] FACTORIZATION OF NORMAL-SOLUBLE AND NORMAL-NILPOTENT GROUPS [J].