Browse > Article
http://dx.doi.org/10.7468/jksmeb.2020.27.1.51

ON THE STABILITY OF THE FUNCTIONAL EQUATION g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x)  

Jung, Yong-Soo (Department of Mathematics, Sun Moon University)
Publication Information
The Pure and Applied Mathematics / v.27, no.1, 2020 , pp. 51-60 More about this Journal
Abstract
In this note, we investigate the Hyers-Ulam stability and the hyperstability of the Pexider type functional equation g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x).
Keywords
Pexider type functional equation; stability;
Citations & Related Records
연도 인용수 순위
  • Reference
1 T. Aoki: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Japan 2 (1950), 64-66.   DOI
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. 27 (1941), 222-224.   DOI
4 Y.-S. Jung: On the stability of higher ring left derivations. Indian J. Pure Appl. Math. 47 (2016), no. 3, 523-533.   DOI
5 Gy. Maksa: Problems 18, In 'Report on the 34th ISFE'. Aequationes Math. 53 (1997), 194.
6 Zs. Pales: Remark 27, In 'Report on the 34th ISFE'. Aequationes Math. 53 (1997), 200-201
7 Th.M. Rassias: On the stability of the linear mapping in Banach spaces. Proc. Amer. Math. Soc. 72 (1978), 297-300.   DOI
8 F. Skof: Sull'approssimazione delle appliazioni localmente ${\delta}$-additive. Atti Accad. Sc. Torino. 117 (1983), 377-389
9 J. Tabor: Remarks 20, In 'Report on the 34th ISFE'. Aequationes Math. 53 (1997), 194-196
10 S.M. Ulam: A Collection of Mathematical Problems. Interscience Publ., New York, 1960.