Two multi-cubic functional equations and some results on the stability in modular spacesopen access
- Authors
- Park, Choonkil; Bodaghi, Abasalt
- Issue Date
- Jan-2020
- Publisher
- SPRINGEROPEN
- Keywords
- Modular space; (Multi)-cubic functional equation; Hyers-Ulam stability
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2020, no.1, pp.1 - 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2020
- Number
- 1
- Start Page
- 1
- End Page
- 16
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146375
- DOI
- 10.1186/s13660-019-2274-5
- ISSN
- 1025-5834
- 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.
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