# Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces LS

@article{Serdyuk2017ApproximationOT,
title={Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces LS},
author={A. Serdyuk and T. Stepanyuk},
journal={Ukrainian Mathematical Journal},
year={2017},
volume={69},
pages={811-822}
}
• Published 2017
• Mathematics
• Ukrainian Mathematical Journal
In metrics of the spaces Ls, 1 ≤ s ≤ 1, 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 in the space L1.
1 Citations