On the order of relative approximation of classes of differentiable periodic functions by splines

• Datum: 2010
• Hauptverfasser: Babenko, V. F., Parfinovych, N. V., Бабенко, В. Ф., Парфинович, Н. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2851
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In the case where $n → ∞$, we obtain order equalities for the best $L_q$ -approximations of the classes $W_p^r ,\; 1 ≤ q ≤ p ≤ 2$, of differentiable periodical functions by splines from these classes.