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

  • S. Ya. Yanchenko

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 $L_1(ℝ^d)$.
Published
25.10.2015
How to Cite
YanchenkoS. Y. “Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 10, Oct. 2015, pp. 1423-3, http://umj.imath.kiev.ua/index.php/umj/article/view/2077.
Section
Research articles