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

ISSN : 1226-0657

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Vol.26 No.4

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On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic 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
2019, v.26 no.4, pp.247-254
https://doi.org/10.7468/jksmeb.2019.26.4.247
Lee, Yang-Hi
Lee,, Y. (2019). On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(4), 247-254, https://doi.org/10.7468/jksmeb.2019.26.4.247

Abstract

In this paper, we investigate Hyers-Ulam-Rassias stability of the functional equation f(x + ky) - k2f(x + y) + 2(k2 - 1)f(x) - k2f(x - y) + f(x - ky) - k2(k2 - 1)(f(y) + f(-y)) = 0, where k is a fixed real number with |k| ≠ 0, 1.

keywords
stability of a functional equation, additive-cubic-quartic functional equation, additive-cubic-quartic mapping

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

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