Geodesic
Local $\mathcal L$-splines preserving the differential operator kernel
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 1, pp. 111-121

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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. 
@article{SJVM_2010_13_1_a9,
     author = {E. V. Shevaldina},
     title = {Local $\mathcal L$-splines preserving the differential operator kernel},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {111--121},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_1_a9/}
}
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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/