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On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines

We obtain the exact asymptotics (as n → ∞) of the best L 1-approximations of classes \(W_1^r\) of periodic functions by splines s ∈ S 2n, r − 1 and s ∈ S 2n, r + k − 1 (S 2n, r is the set of 2π-periodic polynomial splines of order r and defect 1 with nodes at the points kπ/n, k ∈ Z) under certa...

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Datum:	2001
Hauptverfasser:	Parfinovych, N. V., Парфинович, Н. В.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2001
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4270
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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