ON THE HYPERSTABILITY OF THE DRYGAS FUNCTIONAL EQUATION ON A RESTRICTED DOMAIN

被引：5

作者：

Senasukh, Jedsada ^{[1
]}

Saejung, Satit ^{[1
,2
]}

机构：

[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[2] Khon Kaen Univ, Res Ctr Environm & Hazardous Subst Management, Khon Kaen 40002, Thailand

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 102卷 / 01期

关键词：

hyperstability; restricted domain; Drygas functional equation; STABILITY;

D O I：

10.1017/S0004972719001096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove hyperstability results for the Drygas functional equation on a restricted domain (a certain subset of a normed space). Our results are more general than the ones proposed by Aiemsomboon and Sintunavarat ['Two new generalised hyperstability results for the Drygas functional equation',Bull. Aust. Math. Soc.95(2017), 269-280] and our proof does not rely on the fixed point theorem of Brzdek as was the case there. A characterisation of the Drygas functional equation in terms of its asymptotic behaviour is given. Several examples are given to illustrate our generalisations. Finally, we point out a misleading statement in the proof of the second result in the paper by Aiemsomboon and Sintunavarat and propose its correction.

引用

页码：126 / 137

页数：12