Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$

Abstract

In metrics of the spaces $L_s,\; 1 \leq s \leq \infty$, we establish asymptotic equalities for the upper bounds of approximations by Fourier sums in the classes of generalized Poisson integrals of periodic functions that belong to the unit ball of space $L_1$.