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Hyers-Ulam Stability of A Kind of Polynomial Equation

Zhihong Zhao

In this paper, we prove the stability in the sense of Hyers-Ulam stability of a kind of polynomial equation. That is, if y is an approximate solution of the polynomial equation any n+an−1y n−1+· · ·+a1y+a0 = 0, then there exists an exact solution of the polynomial equation near to y.