Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals

• Date: 2007
• Main Authors: Kalchuk, I. V., Kharkevych, Yu. I., Кальчук, И. В., Харкевич, Ю. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3373
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Complete asymptotic decompositions are obtained for values of exact upper bounds of approximations of functions from the classes $W^r_1,\quad r \in N,$ and WJr, $\overline{W}^r_1,\quad r \in N\backslash\{1\}$, by their biharmonic Poisson integrals.