Mergelyan's theorem with polynomials non-vanishing on unions of sets

We consider the problem of approximating a function having no zeros on the interior of a set by polynomials having no zeros on the entire set.

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Bibliographic Details
Published inComplex variables and elliptic equations Vol. 59; no. 1; pp. 99 - 109
Main Authors Andersson, J., Gauthier, P.M.
Format Journal Article
LanguageEnglish
Published Colchester Routledge 01.01.2014
Taylor & Francis Ltd
Subjects
Approximation
Matematik
Mathematics
Mergelyan's theorem
polynomial approximation
Polynomials
Primary: 30E10
Secondary: 11Mxx
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Summary:We consider the problem of approximating a function having no zeros on the interior of a set by polynomials having no zeros on the entire set.
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ISSN:1747-6933
1747-6941
1747-6941
DOI:10.1080/17476933.2013.837048