On the approximation of the classes $W_{β}^rH^{α}$ by biharmonic Poisson integrals

• Date: 2018
• Main Authors: Hrabova, U. Z., Kalchuk, I. V., Stepanyuk, T. A., Грабова, У. З., Кальчук, І. В., Степанюк, Т. А.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1582
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain asymptotic equalities for the least upper bounds of the deviations of biharmonic Poisson integrals from functions of the classes $W_{β}^rH^{α}$ in the case where $r > 2, 0 \leq \alpha < 1$.