Hyers--Ulam stability of a polynomial equation
Liubin Hua and Yongjin Li
Source: Banach J. Math. Anal. Volume 3, Number 2
(2009), 86-90.
Abstract
The aim of this paper is to prove the stability in the sense of Hyers--Ulam stability of a polynomial equation. More precisely, if $x$ is an approximate solution of the equation $x^n + \alpha x + \beta =0$, then there exists an exact solution of the equation near to $x$.
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2012 © Tusi Mathematical Research Group
Banach Journal of Mathematical Analysis