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A Note on Recursive Interpolation for the Lipschitz Class
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2020-09-02 , DOI: 10.3103/s1068362320030097
F. Tugores , L. Tugores

Abstract

This note is framed in the field of complex analysis and deals with some types of interpolating sequences for Lipschitz functions in the unit disk. We introduce recursion between each point of a sequence and the next. We also add interpolation by the derivative, linking its values to those that the function takes. On the supposition that the sequences are quite contractive and lie in a Stolz angle, we relate the interpolating ones for each type to the uniformly separated sequences.



中文翻译:

Lipschitz类的递归插值的注记

摘要

本说明在复杂分析领域中进行了介绍,并讨论了单位磁盘中Lipschitz函数的某些类型的内插序列。我们在序列的每个点和下一个点之间引入递归。我们还通过导数添加插值,将其值链接到函数采用的值。假设序列是非常收缩的并且处于斯托尔兹角,我们将每种类型的内插序列与均匀分离的序列相关联。

更新日期:2020-09-02
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