Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces $L_{s}$

A. S. Serdyuk; T. A. Stepanyuk

paper

Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces $L_{s}$

arXiv:1612.03012

Abstract

In metrics of spaces $L_{s}, 1 \leq s \leq \infty$ , we find asymptotic equalities for upper bounds of approximations by Fourier sums on classes of generalized Poisson integrals of periodic functions, which belong to unit ball of space $L_{1}$ .

11 pages, in Ukrainian

Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces Ls​

Abstract

Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces $L_{s}$