Superstability and Stability of the Pexiderized Multiplicative Functional Equation

被引：3
|
作者：
Lee, Young Whan [1 ]
机构：
[1] Daejeon Univ, Dept Comp & Informat Secur, Taejon 300716, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年
关键词：
Banach Space; Positive Integer; Vector Space; Commutative Group; Functional Equation;
D O I：
10.1155/2010/486325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain the superstability of the Pexiderized multiplicative functional equation f(xy) = g(x)h(y) and investigate the stability of this equation in the following form: 1/(1 + psi(x, y)) <= f(xy)/g(x)h(y) <= 1 + psi(x, y).
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页数：15
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