Remarks on stability of some inhomogeneous functional equations

被引：32

作者：

Brzdek, Janusz ^{[1
]}

机构：

[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland

来源：

AEQUATIONES MATHEMATICAE | 2015年 / 89卷 / 01期

关键词：

Cauchy equation; Cocycle; Hyperstability; Stability of functional equations; HYPERSTABILITY;

D O I：

10.1007/s00010-014-0274-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is an expository paper in which we present some simple observations on the stability of some inhomogeneous functional equations. In particular, we state several stability results for the inhomogeneous Cauchy equation f(x + y) = f(x) + f(y) + d(x, y) and for the inhomogeneous forms of the Jensen and linear functional equations.

引用

页码：83 / 96

页数：14

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