Generalized Stability of a General Quartic Functional Equation
The general quartic functional equation is a generalization of many functional equations such as a Jensen functional equation and a general quadratic functional equation. In this paper, we investigate the generalized stability of the general quartic functional equation $$\sum_{i=0}^{5}\dbinom{5}{i}(-1)^{5-i}f(x+iy)=0$$ using a direct method that modifies the proof method of Gavruta in Gavruta (1994).
Authors
- Yang-Hi Lee (ORCID: https://orcid.org/0000-0002-9013-2925)
- Sun-Sook Jin
Institutions
- Gongju National University of Education (KR)
Publication Details
- Journal
- Asian Research Journal of Mathematics
- Published
- 2024-12-27
- DOI
- https://doi.org/10.9734/arjom/2024/v20i12877
- Citations
- 1
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.97