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Journal of Advances in Mathematics and Computer Science
Article . 2022 . Peer-reviewed
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Hyers-Ulam-Rassias Stability of a General Septic Functional Equation

Hyers-Ulam-Rassias stability of a general decic functional equation
descriptionPublicationkeyboard_double_arrow_right Article 19 Dec 2022Publisher:Sciencedomain InternationalJournal:Journal of Advances in Mathematics and Computer Science (eissn: 2456-9968, Copyright policy )
Authors: Jin, Sun-Sook; Lee, Yang-Hi;

doi: 10.9734/jamcs/2022/v37i121725

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

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.

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Keywords

stability of a functional equation, Functional equations for real functions, Stability, separation, extension, and related topics for functional equations, general decic functional equation, general decic mapping

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average