| 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 |
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| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ตีพิมพ์แล้ว |
| Level of Publication |
นานาชาติ |
| citation |
true |
| Part of thesis |
true |
| ใช้สำหรับสำเร็จการศึกษา |
ไม่เป็น |
| Attach file |
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| Citation |
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Publication
Journal Publication
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