Locally univalent approximations of analytic functions

In the present paper, we introduce a measure of the non-univalency of an analytic function, and we use it in order to find the best approximation of analytic function by a locally univalent normalized analytic function.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 453; no. 2; pp. 1005 - 1021
Main Authors Kargar, Rahim, Pascu, Nicolae R., Ebadian, Ali
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.09.2017
Subjects
Approximations of analytic functions
Karush–Kuhn–Tucker conditions
Locally univalent
Numerical methods
Locally univalent
Approximations of analytic functions
Numerical methods
Karush–Kuhn–Tucker conditions
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Summary:In the present paper, we introduce a measure of the non-univalency of an analytic function, and we use it in order to find the best approximation of analytic function by a locally univalent normalized analytic function.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.04.054