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Publication
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| Title of Article |
A quick look at the stability of the new generalized linear functional equation |
| Date of Acceptance |
2 November 2021 |
| Journal |
| Title of Journal |
The Thai Journal of Mathematics |
| Standard |
SCOPUS |
| Institute of Journal |
Thai Journal of Mathematics is supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART). |
| ISBN/ISSN |
1686-0209 |
| Volume |
20 |
| Issue |
1 |
| Month |
March |
| Year of Publication |
2022 |
| Page |
315-321 |
| Abstract |
In this paper, we show that the stability of the generalized linear functional equation introduced by Aiemsomboon and Sintunavarat [L. Aiemsomboon, W. Sintunavarat, Stability of the new
generalized linear functional equation in normed spaces via the fixed point method in generalized metric spaces, Thai J. Math. 16 (2018) 113–124] follows easily from the well-known results of Găvruţa [P. Găvruţa, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mapping, J. Math. Anal. Appl. 184 (1994) 431–436] and Jung [S.M. Jung, On the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 204 (1996) 221–226, S.M. Jung, Stability of the quadratic equation of Pexider type, Abh. Math. Sem. Unniv. Hamburg. 70 (2000) 175–190]. Moreover, we show that the new upper bound of our estimate is not only better than the ones proposed by Aiemsomboon and Sintunavarat, but also sharp at least some particular functions. |
| Keyword |
generalized linear functional equation, stability result |
| Author |
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| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ตีพิมพ์แล้ว |
| Level of Publication |
นานาชาติ |
| citation |
false |
| Part of thesis |
true |
| Attach file |
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| Citation |
0
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Journal Publication
ไทย