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Approximation of the classes $W^{r}_{\beta,\infty}$ by generalized Abel-Poisson integrals

UDC 517.5I We study the approximative properties of generalized Abel–Poisson integrals $P_{\gamma}(\delta),$ $0&lt;\gamma\leq2,$ on the Weil–Nagy classes $W^{r}_{\beta,\infty}$ under the condition $0&lt;r\leq\gamma$ in the uniform metric.

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Bibliographic Details
Date:	2022
Main Authors:	Kal'chuk, I. V., Kharkevych, Yu. I., Кальчук, Инна, Харкевич, Юрий, Кальчук, I. В., Харкевич, Ю. I.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2022
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7164
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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