Geodesic
An asymptotically optimal cubic spline
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 8-14

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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
Mots-clés : interpolation. 
@article{IVM_2011_4_a1,
     author = {N. K. Bakirov},
     title = {An asymptotically optimal cubic spline},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {8--14},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a1/}
}
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N. K. Bakirov. An asymptotically optimal cubic spline. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 8-14. http://geodesic.mathdoc.fr/item/IVM_2011_4_a1/