Browse > Article
http://dx.doi.org/10.11568/kjm.2020.28.2.159

HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC-CUBIC-QUARTIC FUNCTIONAL EQUATION  

Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
Publication Information
Korean Journal of Mathematics / v.28, no.2, 2020 , pp. 159-168 More about this Journal
Abstract
In this paper, we investigate Hyers-Ulam-Rassias stability of a functional equation f(x + ky) + f(x - ky) - k2f(x + y) - k2f(x - y) + 2(k2 - 1)f(x) + (k2 + k3)f(y) + (k2 - k3)f(-y) - 2f(ky) = 0.
Keywords
stability of a functional equation; quadratic-cubic-quartic functional equation; quadratic-cubic-quartic mapping;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Baker, A general functional equation and its stability, Proc. Natl. Acad. Sci. 133 (6) (2005), 1657-1664.
2 P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436.   DOI
3 D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A. 27 (1941), 222-224.   DOI
4 M. E. Gordji, H. Khodaei, and R. Khodabakhsh, General quartic-cubic-quadratic functional equation in non-Archimedean normed spaces, U.P.B. Sci. Bull. Series A 72 (3) (2010), 69-84.
5 Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.   DOI
6 S.M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.