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Solution and stability of a functional equation deriving from additive, quadratic and quartic in quasi-Banach spacesopen access
- Issue Date
- Dec-2025
- Publisher
- KANGWON-KYUNGKI MATHEMATICAL SOC
- Keywords
- Hyers-Ulam stability; Additive mapping; Quadratic mapping; Quartic; mapping; Quasi-Banach space; p-Banach space
- Citation
- KOREAN JOURNAL OF MATHEMATICS, v.33, no.4, pp 317 - 342
- Pages
- 26
- Indexed
- SCOPUS
ESCI
KCI
- Journal Title
- KOREAN JOURNAL OF MATHEMATICS
- Volume
- 33
- Number
- 4
- Start Page
- 317
- End Page
- 342
- ISSN
- 1976-8605
2288-1433
- Abstract
- In this paper, we investigate the general solution of the following functional equation $$f(x+3y)+f(x-3y)=9(f(x+y)+f(x-y))+12f(y)-12f(2y)+4f(3y)-16f(x)$$ and discuss its Hyers-Ulam stability in quasi-Banach spaces.
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