Hyperbolically convex functions and the generalized Fekete-Szegö functional (Q719568)
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scientific article; zbMATH DE number 5956097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolically convex functions and the generalized Fekete-Szegö functional |
scientific article; zbMATH DE number 5956097 |
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Hyperbolically convex functions and the generalized Fekete-Szegö functional (English)
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10 October 2011
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The authors describe extremal functions for the generalized Fekete-Szegö functional \(\mathcal{L}_t(f)=|ta_3+a^2_2|\) with \(t\) real and \(f\) in the class of hyperbolically convex functions. The Julia variational formula is used to reduce the problem to mappings onto hyperbolic polygons having no more than two proper sides.
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Fekete-Szegö functional
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hyperbolically convex functions
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Julia variation
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