Open Access
2009 Hyers--Ulam stability of a polynomial equation
Liubin Hua, Yongjin Li
Banach J. Math. Anal. 3(2): 86-90 (2009). DOI: 10.15352/bjma/1261086712

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 $x$.

Citation

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Liubin Hua. Yongjin Li. "Hyers--Ulam stability of a polynomial equation." Banach J. Math. Anal. 3 (2) 86 - 90, 2009. https://doi.org/10.15352/bjma/1261086712

Information

Published: 2009
First available in Project Euclid: 17 December 2009

zbMATH: 1192.39022
MathSciNet: MR2539735
Digital Object Identifier: 10.15352/bjma/1261086712

Subjects:
Secondary: 26D10 , 34K20 , 39B82

Keywords: ‎Hyers--Ulam stability , polynomial equation

Rights: Copyright © 2009 Tusi Mathematical Research Group

Vol.3 • No. 2 • 2009
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