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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.11 No.4

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On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.4, pp.323-335
Jun, Kil-Woung
Kim, Hark-Mann
Lee, Don-O
Jun,, K. , Kim,, H. , & Lee,, D. (2004). On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(4), 323-335.

Abstract

In this paper, we solve the general solution of a modified additive and quadratic functional equation f(χ + 3y) + 3f(χ-y) = f(χ-3y) + 3f(χ+y) in the class of functions between real vector spaces and obtain the Hyers-Ulam-Rassias stability problem for the equation in the sense of Gavruta.

keywords
Hyers-Ulam stability, quadratic function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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