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On the Stability of the Functional Equation g(x+y+xy)=g(x)+f(y)+xf(y)+yg(x)
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In this note, we investigate the Hyers-Ulam stability and the hypersta- bility of the Pexider type functional equation g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x).
Abstract
In this note, we investigate the Hyers-Ulam stability and the hypersta- bility of the Pexider type functional equation g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x).
참고문헌 (10)
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- Y.-S. Jung, "On the stability of higher ring left derivations", Indian J. Pure Appl. Math., 47(3), pp.523~533 (2016)
- Gy. Maksa, "Problems 18, In `Report on the 34th ISFE'", Aequationes Math., 53, pp.194~ (1997)
- Zs. Pales, "Remark 27, In `Report on the 34th ISFE'", Aequationes Math, 53, pp.200~201 (1997)
- Th.M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc., 72, pp.297~300 (1978)
- F. Skof, "Sull'approssimazione delle appliazioni localmente δ-additive", Atti Accad. Sc. Torino, 117, pp.377~389 (1983)
- J. Tabor, "Remarks 20, In `Report on the 34th ISFE'", Aequationes Math, 53, pp.194~196 (1997)
- S.M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience Publ.
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