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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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