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

• Datum: 2015
• Hauptverfasser: Yanchenko, S. Ya., Янченко, С. Я.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2077
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 $L_1(ℝ^d)$.