Geodesic
On the approximation of~functions by interpolating splines defined on nonuniform nets
Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 81-99

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New results are obtained on the approximation of elements of Sobolev classes $W_p^l$ in the $L_q$ metric by interpolating splines of order $2m-1$ and deficiency 1, defined on nonuniform nets $\Delta_n$. The results are stated in terms of global and local properties of $\Delta_n$, and depend mainly on an integral representation of the error. 
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     author = {A. Yu. Shadrin},
     title = {On the approximation of~functions by interpolating splines defined on nonuniform nets},
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     url = {http://geodesic.mathdoc.fr/item/SM_1992_71_1_a6/}
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A. Yu. Shadrin. On the approximation of~functions by interpolating splines defined on nonuniform nets. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 81-99. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a6/