Two multi-cubic functional equations and some results on the stability in modular spaces
- Title
- Two multi-cubic functional equations and some results on the stability in modular spaces
- Author
- 박춘길
- Keywords
- Modular space; (Multi)-cubic functional equation; Hyers-Ulam stability
- Issue Date
- 2020-01
- Publisher
- SPRINGEROPEN
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v. 2020, no. 1, article no. 6
- Abstract
- In this article, we study n-variable mappings which are cubic in each variable. We also show that such mappings can be described by an equation, say, multi-cubic functional equation. Furthermore, we study the stability of such functional equations in the modular space X rho by applying Delta 2-condition and the Fatou property (in some cases) on the modular function rho. Finally, we show that, under some mild conditions, one of these new multi-cubic functional equations can be hyperstable.
- URI
- https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2274-5https://repository.hanyang.ac.kr/handle/20.500.11754/160650
- ISSN
- 1029-242X
- DOI
- 10.1186/s13660-019-2274-5
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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