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Approximation of holomorphic functions by Taylor-Abel-Poisson means

We investigate approximations of functions $f$ holomorphic in the unit disk by means $A_{\rho, r}(f)$ for $\rho \rightarrow 1_-$. In terms of an error of the approximation by these means, the constructive characteristic of classes of holomorphic functions $H_p^r \text{\;Lip\,}\alpha$ is given. The...

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Bibliographic Details
Date:	2007
Main Authors:	Savchuk, V. V., Савчук, В. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3385
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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