On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education, Gongju National University of Education)

Lee, Yang-Hi. (2019). ON THE HYERS-ULAM-RASSIAS STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION. 한국수학교육학회지시리즈B:순수및응용수학, 26(4), 247-254, https://doi.org/10.7468/jksmeb.2019.26.4.247

복사

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

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논문 상세

Vol.26 No.4

ON THE HYERS-ULAM-RASSIAS STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION

On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation

Abstract

한국수학교육학회지시리즈B:순수및응용수학