Hyperstability of Some Functional Equations on Restricted Domain

被引：6

作者：

Bahyrycz, Anna ^{[1
]}

Olko, Jolanta ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

关键词：

STABILITY;

D O I：

10.1155/2017/1946394

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper concerns functions which approximately satisfy, not necessarily on the whole linear space, a generalization of linear functional equation. A Hyers-Ulam stability result is proved and next applied to give conditions implying the hyperstability of the equation. The results may be used as tools in stability studies on restricted domains for various functional equations. We use the main theorem to obtain a few hyperstability results of Frechet equation on restricted domain for different control functions.

引用

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页数：6

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