2017
Том 69
№ 6

All Issues

Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators

Romanyuk A. S., Romanyuk V. S.


Abstract

We obtain the exact-order estimates for the best bilinear approximations of the Nikol‘ski–Besov classes $B^r_{p,\theta}$ of periodic functions of several variables. We also find the orders for singular numbers of the integral operators with kernels from the classes $B^r_{p,\theta}$.

Citation Example: Romanyuk A. S., Romanyuk V. S. Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators // Ukr. Mat. Zh. - 2016. - 68, № 9. - pp. 1240-1250.