Geodesic
On functionals dual to minimal splines
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIX, Tome 453 (2016), pp. 198-218

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The paper considers minimal splines of Lagrange type of lower orders, and a system of functionals biorthogonal to the system of minimal coordinate splines is constructed. The results obtained are illustrated on the example of a polynomial generating vector function, which leads to the construction of $B$-splines from the approximation relations. 
@article{ZNSL_2016_453_a13,
     author = {A. A. Makarov},
     title = {On functionals dual to minimal splines},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {198--218},
     publisher = {mathdoc},
     volume = {453},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_453_a13/}
}
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A. A. Makarov. On functionals dual to minimal splines. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIX, Tome 453 (2016), pp. 198-218. http://geodesic.mathdoc.fr/item/ZNSL_2016_453_a13/