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

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.

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Bibliographische Detailangaben
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
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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