Geodesic
Local $\mathcal L$-splines preserving the differential operator kernel
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 1, pp. 111-121 
E. V. Shevaldina. Local $\mathcal L$-splines preserving the differential operator kernel. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 1, pp. 111-121. http://geodesic.mathdoc.fr/item/SJVM_2010_13_1_a9/
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     title = {Local $\mathcal L$-splines preserving the differential operator kernel},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_1_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the local $\mathcal L$-splines of odd order with uniform nodes are constructed. These splines preserve basic functions from the kernel of the linear differential operator $\mathcal L$ with constant real coefficients and pairwise different roots of a characteristic polynomial. The pointwise error estimation of an approximation value using constructed splines on appropriate classes of differentiable functions is given.

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