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

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 eq...

Full description

Saved in:
Bibliographic Details
Published inJournal of Advances in Mathematics and Computer Science pp. 12 - 28
Main Authors Jin, Sun-Sook, Lee, Yang-Hi
Format Journal Article
LanguageEnglish
Published 19.12.2022
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2456-9968
2456-9968
DOI:10.9734/jamcs/2022/v37i121725