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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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