2017
Том 69
№ 6

All Issues

Approximations of classes $B^{Ω}_{p,θ}$ of functions of many variables by entire functions in the space $L_q (R^d)$

Yanchenko S. Ya.

Full text (.pdf)


Abstract

Exact-order estimates are obtained for the best approximations of the classes $B^{Ω}_{p,θ}$ of functions of many variables by entire functions of the exponential type in the space $L_q (R^d)$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 136-150.

Citation Example: Yanchenko S. Ya. Approximations of classes $B^{Ω}_{p,θ}$ of functions of many variables by entire functions in the space $L_q (R^d)$ // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 123–135.

Full text