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STABILITY OF ZEROS OF POWER SERIES EQUATIONS
- Issue Date
- Jan-2014
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Hyers-Ulam stability; power series equation; polynomial equation; zero
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.1, pp.77 - 82
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 51
- Number
- 1
- Start Page
- 77
- End Page
- 82
- ISSN
- 1015-8634
- Abstract
- We prove that if vertical bar a(1)vertical bar is large and vertical bar a(0)vertical bar is small enough, then every approximate zero of power series equation Sigma(infinity)(n=0) a(n)x(n) = 0 can be approximated by a true zero within a good error bound. Further, we obtain Hyers-Ulam stability of zeros of the polynomial equation of degree n, a(n)z(n) + a(n-1)z(n-1) + . . . + a(1)z + a(0) = 0 for a given integer n > 1.
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