On the Hyers-Ulam-Rassias stability of a cubic-quadratic functional equation

Lee, Yang‐Hi

doi:10.12988/ijma.2018.81064

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2022

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“…The stability of a general quadratic function equation was obtained by Y. H. Lee [11], Y. H. Lee et al [12], and S. S. Jin et al [13]. On the other hand, the stability of a general cubic function equation was studied by Y. H. Lee [14,15], S. M. Jun et al [16], and Y. H. Lee et al [17,18], and the stability of the general quartic function equation are discussed in Y. H. Lee [20] and Y. H. Lee et al [?,18,21,22,23]. Moreover, the stability of a general quintic functional equation has been studied by S. S. Jin et al [24], and the stability of the general sextic function equation has been obtained by Y. H. Lee [25], I.…”

Section: Introductionmentioning

confidence: 99%

Hyers-Ulam-Rassias Stability of a General Septic Functional Equation

Jin

Lee

2022

JAMCS

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In this paper, we investigate the stability of the following general septic functional equation: \(\sum_{i=0}^8{ }_8 C_i(-1)^{8-i} f(x+(i-4) y)=0\)which is a generalization of many functional equations such as the additive functional equation, the quadratic functional equation, the cubic functional equation, the quartic functional equation, the quintic functional equation, and the sextic functional equation. The equation is analysed from the perspective of Hyers-Ulam-Rassias stability.

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