2018
Том 70
№ 6

Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics

Yanchenko S. Ya.

Abstract

We obtain the exact-order estimations for the approximation of the isotropic Nikol’skii–Besov classes of functions of several variables by the de la Vallée-Poussin-type sums in metrics of the spaces $L_{∞}(ℝ^d)$ and $L_1(ℝ^d)$.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1599-1610.

Citation Example: Yanchenko S. Ya. Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1423-1433.