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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ON LINEAR PERTURBATIONS AND ABSOLUTE ROOT BOUND FUNCTIONALS

ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2003, v.10 no.1, pp.37-47
Kim, Jin-Hwan (Department of Mathematics Education, Yeungnam University)
Park, Young-Kou (Department of Mathematics Education, Yeungnam University)

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.

keywords
perturbed of polynomials, perturbed roots

한국수학교육학회지시리즈B:순수및응용수학