Title of Article |
On the hyperstability of the Drygas functional equation on a restricted domain |
Date of Acceptance |
3 September 2019 |
Journal |
Title of Journal |
Bulletin of the Australian Mathematical Society |
Standard |
SCOPUS |
Institute of Journal |
Cambridge University Press |
ISBN/ISSN |
0004-9727 (Print), 1755-1633 (Online) |
Volume |
102 |
Issue |
1 |
Month |
August |
Year of Publication |
2020 |
Page |
126-137 |
Abstract |
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 Brzdęk 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. |
Keyword |
hyperstability, restricted domain, Drygas functional equation |
Author |
|
Reviewing Status |
มีผู้ประเมินอิสระ |
Status |
ตีพิมพ์แล้ว |
Level of Publication |
นานาชาติ |
citation |
true |
Part of thesis |
true |
Attach file |
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Citation |
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