Hyers-Ulam-Rassias Stability of a General Septic Functional Equation
Journal of Advances in Mathematics and Computer Science · pp. 12–28 · Published 19 Dec 2022
10.9734/jamcs/2022/v37i121725Abstract
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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Cited by 4
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