Approximation of the classes $C^{\psi}_{\beta}H^{\alpha}$ by biharmonic Poisson integrals

In the work we done the research of questions on approximation $(\psi,\beta)$-differentiable in the understanding of Stepanets functions that $(\psi, \beta)$-derivative belongs to the class $H^{\alpha}$, by biharmonic Poisson integrals in uniform metric

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Bibliographic Details
Date:2020
Main Authors: Abdullayev, F. G., Kharkevych, Yu. I., Абдуллаев, Ф. Г., Харкевич, Ю. И., Абдуллаєв, Ф. Г., Харкевич, Ю. І.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1007
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:In the work we done the research of questions on approximation $(\psi,\beta)$-differentiable in the understanding of Stepanets functions that $(\psi, \beta)$-derivative belongs to the class $H^{\alpha}$, by biharmonic Poisson integrals in uniform metric