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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 8–14 (Mi ivm7286)  
An asymptotically optimal cubic spline

N. K. Bakirov

Chair of Mathematics, Ufa State Aviation Technical University, Ufa, Russia
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Abstract: In this paper we consider the interpolation problem for a sufficiently smooth function defined on the segment $[0,1]$. The initial data are values of the mentioned function at given mesh nodes. We construct a cubic spline asymptotically optimal with respect to the growing number of nodes. For the constructed spline we estimate interpolation errors in the uniform and $L_2$ metrics.
Keywords: cubic spline, interpolation.
Received: 20.10.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 4, Pages 5–11
DOI: https://doi.org/10.3103/S1066369X11040025
Bibliographic databases:
Document Type: Article
UDC: 519.652
Language: Russian
Citation: N. K. Bakirov, “An asymptotically optimal cubic spline”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 8–14; Russian Math. (Iz. VUZ), 55:4 (2011), 5–11
Citation in format AMSBIB
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\by N.~K.~Bakirov
\paper An asymptotically optimal cubic spline
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 4
\pages 8--14
\mathnet{http://mi.mathnet.ru/ivm7286}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919792}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 4
\pages 5--11
\crossref{https://doi.org/10.3103/S1066369X11040025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958722017}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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