Additive and Frechet functional equations on restricted domains with some characterizations of inner product spacesopen access
- Authors
- Park, Choonkil; Najati, Abbas; Noori, Batool; Moghimi, Mohammad B.
- Issue Date
- Nov-2021
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- Hyers-Ulam stability; quadratic functional equation; Frechet functional equation; asymptotic behavior
- Citation
- AIMS MATHEMATICS, v.7, no.3, pp.3379 - 3394
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 7
- Number
- 3
- Start Page
- 3379
- End Page
- 3394
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/140392
- DOI
- 10.3934/math.2022188
- Abstract
- In this paper, we investigate the Hyers-Ulam stability of additive and Frechet functional equations on restricted domains. We improve the bounds and thus the results obtained by S. M. Jung and J. M. Rassias. As a consequence, we obtain asymptotic behaviors of functional equations of different types. One of the objectives of this paper is to bring out the involvement of functional equations in various characterizations of inner product spaces.
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