Best Möbius Approximations of Convex and Concave Mappings
No Thumbnail Available
Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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.
Description
Keywords
Best Mobius approximation, Convex mappings, Concave mappings, Polygons, Blaschke product