Asymptotic behavior of a generalized functional equation
- Authors
- Tareeghee, Mohammad Amin; Najati, Abbas; Noori, Batool; Park, Choonkil
- Issue Date
- Feb-2022
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- Hyers-Ulam stability; quadratic functional equation; asymptotic behavior
- Citation
- AIMS Mathematics, v.7, no.4, pp.7001 - 7011
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 7
- Number
- 4
- Start Page
- 7001
- End Page
- 7011
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/139585
- DOI
- 10.3934/math.2022389
- Abstract
- In this paper, we investigate the Hyers-Ulam stability problem of the following functional equation f(x+y)+g(x−y)=h(x)+k(y), on an unbounded restricted domain, which generalizes some of the results already obtained by other authors (for example [9,Theorem 2], [11,Theorem 5] and [21,Theorem 2]). Particular cases of this functional equation are Cauchy, Jensen, quadratic and Drygas functional equations. As a consequence, we obtain asymptotic behaviors of this functional equation.
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