Banach Journal of Mathematical Analysis

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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Secondary Subjects: 39B82, 34K20, 26D10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bjma/1261086712
Mathematical Reviews number (MathSciNet): MR2539735
Zentralblatt MATH identifier: 05702389


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Banach Journal of Mathematical Analysis

Banach Journal of Mathematical Analysis