Remarks on hyperstability of the Cauchy functional equation

被引：0
作者：
Janusz Brzdȩk
机构：
[1] Pedagogical University,Department of Mathematics
来源：
Aequationes mathematicae | 2013年 / 86卷
关键词：
Primary 39B82; 47H14; 47J20; Secondary 39B62; Cauchy equation; hyperstability; cocycle; Hyers–Ulam stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present some simple observations on hyperstability for the Cauchy equation on a restricted domain. Namely, we show that (under some weak natural assumptions) functions that satisfy the equation approximately (in some sense), must be actually solutions to it. In this way we demonstrate in particular that hyperstability is not a very exceptional phenomenon as it has been considered so far. We also provide some simple examples of applications of those results.
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页码：255 / 267
页数：12
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