Behaviour of derivatives of the spline-interpolation error

Assertions are proved clarifying the character of the behavior of the derivatives of the error of interpolation of differentiable periodic functions by splines with respect to the corresponding derivatives of the standard perfect spline determining the error on the entire class of functions.

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Bibliographische Detailangaben
Datum:1991
Hauptverfasser: Korneichuk , N. P., Корнейчук , Н. П.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1991
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9307
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung:Assertions are proved clarifying the character of the behavior of the derivatives of the error of interpolation of differentiable periodic functions by splines with respect to the corresponding derivatives of the standard perfect spline determining the error on the entire class of functions.