2019
Том 71
№ 4

# Fedunyk O. V.

Articles: 2
Article (Ukrainian)

### Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables

Ukr. Mat. Zh. - 2006. - 58, № 5. - pp. 692–704

We obtain exact order estimates for the approximation of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions.

Article (Ukrainian)

### Linear widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$

Ukr. Mat. Zh. - 2006. - 58, № 1. - pp. 93–104

We obtain exact order estimates for the linear widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$ for certain values of the parameters $p$ and $q$.