A. Romanyuk

collaborators

2 papers

math.CA2024

The best $m$ -term trigonometric approximations of the classes of periodic functions of one and many variables in the space $B_{q, 1}$

Kateryna Pozharska, Anatolii Romanyuk

Exact order estimates are obtained of the best $m$ -term trigonometric approximations of the Nikol'skii-Besov classes $B_{p, θ}^{r}$ of periodic functions of one and many variables in…

math.CA2024

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative

K. V. Pozharska, A. S. Romanyuk, S. Ya. Yanchenko

We established exact in order estimates an approximation of the Sobolev classes $W_{p, α}^{r} (T^{d})$ of periodic functions of many variables with a b…

The best m-term trigonometric approximations of the classes of periodic functions of one and many variables in the space Bq,1​

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative

The best $m$ -term trigonometric approximations of the classes of periodic functions of one and many variables in the space $B_{q, 1}$