The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 10 Issue 1
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- Pages.37-47
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- 2003
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
ON LINEAR PERTURBATIONS AND ABSOLUTE ROOT BOUND FUNCTIONALS
- Kim, Jin-Hwan (Department of Mathematics Education, Yeungnam University) ;
- Park, Young-Kou (Department of Mathematics Education, Yeungnam University)
- Published : 2003.02.01
Abstract
We will show that any linear perturbation of polynomials that introduces bounded perturbations into the roots of polynomial is some linear combination of the derivatives of a polynomial. And we will derive an absolute root bound functional which is in some sense better than the other known absolute root bound functionals.