Some improvements on the stability results for additive functional inequalities in Banach spaces
We discuss two functional inequalities proposed by Lu and Park (J. Inequal. Appl. 2012:294, 2012). Using the concept of γ-additive mappings and the results of Forti (J. Math. Anal. Appl. 295:127–133, 2004) we give an improvement of the stability results of these functional inequalities and obtain some hyperstability results. In some situation, we show that the estimate in our result is sharp.
Authors
- Satit Saejung (ORCID: https://orcid.org/0000-0003-3325-2864)
- Sajjatit Santawong
Institutions
- Khon Kaen University (TH)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-12-08
- DOI
- https://doi.org/10.1186/s13660-025-03411-6
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00