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Research Article Open access CC BY 4.0

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

Sun-Sook Jin, Yang-Hi Lee

Journal of Advances in Mathematics and Computer Science · pp. 12–28 · Published 19 Dec 2022

10.9734/jamcs/2022/v37i121725

Abstract

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.

Stability of a functional equation general septic functional equation general septic mapping

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Cited by 4

Generalized Stability of a General Septic Functional Equation

Sun-Sook Jin, Yang-Hi Lee · AppliedMath · 2025

A Uniqueness Theorem for Stability Problems of Functional Equations

Soon-Mo Jung, Yang-Hi Lee, Jaiok Roh · Symmetry · 2024

Representation and Stability concerning General Nonic Functional Equation

Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh · 2023

Representation and Stability of General Nonic Functional Equation

Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh · Mathematics · 2023

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