S. Yanchenko

collaborators

3 papers

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…

math.CA2024

Approximation of functions of many variables from the generalization Nikol'skii-Besov type classes in the uniform and integral metrics

M. I. Gromyak, O. Ya. Radchenko, S. Ya. Yanchenko

We obtain the exact order estimates of the approximation of the functions of many variables from the generalized Nikol'skii-Besov classes $B_{p, θ}^{Ω} (R^{d})$ by sums of de la…

math.CA2019

Approximation of Nikol'skii-Besov functional classes $S_{1, θ}^{r} B (R^{d})$ by entire functions of a special form

S. Ya. Yanchenko

We establish the exact-order estimates for the approximation of functions from the Nikol'skii-Besov classes $S_{1, θ}^{r} B (R^{d})$ , $d ⩾ 1$ , by entire fu…

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

Approximation of functions of many variables from the generalization Nikol'skii-Besov type classes in the uniform and integral metrics

Approximation of Nikol'skii-Besov functional classes S1,θr​B(Rd) by entire functions of a special form

Approximation of Nikol'skii-Besov functional classes $S_{1, θ}^{r} B (R^{d})$ by entire functions of a special form