On the Fekete-Szegő problem and argument inequality for strongly quasi-convex functions (Q2732163)
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scientific article; zbMATH DE number 1623274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Fekete-Szegő problem and argument inequality for strongly quasi-convex functions |
scientific article; zbMATH DE number 1623274 |
Statements
19 February 2002
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strongly quasi-convex
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integral operator
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quasiconvex functions
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Fekete-Szegö inequalities
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subordination
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On the Fekete-Szegő problem and argument inequality for strongly quasi-convex functions (English)
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Let \({\mathcal Q}(\beta)\) be the class of normalized strongly quasiconvex functions of order \(\beta\) in the open unit disc. Sharp Fekete-Szegö inequalities are obtained for functions belonging to the class \({\mathcal Q}(\beta)\). The author also considers the integral preserving properties in a sector. For the principal proofs the author used the very known ``admisible functions method'' (differential subordination method) introduced by P. T Mocanu and S. S Miller.
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