Hyers--Ulam stability of a polynomial equation
Li, Yongjin ; Hua, Liubin
Banach J. Math. Anal., Tome 3 (2009) no. 2, p. 86-90 / Harvested from Project Euclid
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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 $x$.
Publié le : 2009-05-15
Classification:  Hyers--Ulam stability,  polynomial equation,  39B82,  34K20,  26D10 
@article{1261086712,
     author = {Li, Yongjin and Hua, Liubin},
     title = {Hyers--Ulam stability of a polynomial equation},
     journal = {Banach J. Math. Anal.},
     volume = {3},
     number = {2},
     year = {2009},
     pages = { 86-90},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1261086712}
}

Li, Yongjin; Hua, Liubin. Hyers--Ulam stability of a polynomial equation. Banach J. Math. Anal., Tome 3 (2009) no. 2, pp.  86-90. http://gdmltest.u-ga.fr/item/1261086712/