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

Abstract

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 $r > 2, 0 \leq \alpha < 1$.