Best Möbius Approximations of Convex and Concave Mappings

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2023-12-12 DOI:10.1007/s40315-023-00517-0

Martin Chuaqui, Brad Osgood

引用次数: 0

Abstract

We study the best Möbius 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.

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凸贴图和凹贴图的最佳莫比乌斯近似值

我们研究了圆盘的凸和凹共形映射的最佳Möbius逼近(BMA)，包括映射到凸多边形的特殊情况。关键因素是bma两极的位置。在多边形的情况下，通过Blaschke积的特殊性质和映射函数的顶点，可以获得更精细的细节。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.