Best Möbius Approximations of Convex and Concave Mappings

被引：0

作者：

Chuaqui, Martin ^{[1
]}

Osgood, Brad ^{[2
]}

机构：

[1] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

[2] Stanford Univ, Elect Engn, Palo Alto, CA 94025 USA

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2023年 / 25卷 / 1期

关键词：

Best Mobius approximation; Convex mappings; Concave mappings; Polygons; Blaschke product;

D O I：

10.1007/s40315-023-00517-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the best Mobius approximations (BMA) to convex and concave conformal mappings of the disk, including the special case of mappings onto convex polygons. The crucial factor is the location of the poles of the BMAs. Finer details are possible in the case of polygons through special properties of Blaschke products and the prevertices of the mapping function.

引用

页码：139 / 149

页数：11

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