2017
Том 69
№ 9

All Issues

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

Serdyuk A. S., Stepanyuk T. A.


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 $L_1$.

Citation Example: Serdyuk A. S., Stepanyuk T. A. Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$ // Ukr. Mat. Zh. - 2017. - 69, № 5. - pp. 695-704.