Approximation of holomorphic functions by Taylor-Abel-Poisson means

• Datum: 2007
• Hauptverfasser: Savchuk, V. V., Савчук, В. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3385
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...