2017
Том 69
№ 7

# On the Problem of Linear Widths of the Classes $B_{p,θ}^r$ of Periodic Functions of Many Variables

Romanyuk A. S.

Abstract

We establish order estimates for the linear widths of the classes $B_{p,θ}^r$ of periodic functions of many variables in the space $L_q$ for some relationships between the parameters $p, q$, and $θ$.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 7, pp 1085-1098.

Citation Example: Romanyuk A. S. On the Problem of Linear Widths of the Classes $B_{p,θ}^r$ of Periodic Functions of Many Variables // Ukr. Mat. Zh. - 2014. - 66, № 7. - pp. 970–982.