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Starlike approximations of analytic functions |
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| Authors: | Mihai N. Pascu Nicolae R. Pascu |
| Affiliation: | a Faculty of Mathematics and Computer Science, Transilvania University of Bra?ov, Str. Iuliu Maniu 50, Bra?ov 500091, Romania b Department of Mathematics, Southern Polytechnic State University, 1100 South Marietta Parkway, Marietta, GA 30060-2896, USA |
| Abstract: | When an analytic function is not univalent, it is often of interest to approximate it by univalent functions. In this paper we introduce a measure of the non-univalency of a function and we derive a method for constructing the best starlike univalent approximations of analytic functions with respect to it, suitable for both practical problems and numerical implementation. |
| Keywords: | Univalent function Starlike function Approximation of analytic functions Numerical methods Quadratic programming Karush-Kuhn-Tucker conditions |
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