Journal of Mathematics (Jan 2023)

Some Remarks Concerning the General Octic Functional Equation

  • Yang-Hi Lee,
  • Jaiok Roh

DOI
https://doi.org/10.1155/2023/2930056
Journal volume & issue
Vol. 2023

Abstract

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In this article, we study the stability of various forms for the general octic functional equation ∑i=099Ci−19−ifx+iy=0. We first find a special way of representing a given mapping as the sum of eight mappings. And by using the above representation, we will investigate the hyperstability of the general octic functional equation. Furthermore, we will discuss the Hyers–Ulam–Rassias stability of the general octic functional equation.