Geodesic
Abstract splines with the tension as the functions of parameters in energy operator
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 4, pp. 301-311

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In the framework of general optimization of energy functional in variational spline interpolation approach we consider the multiparametric family of energy operators linear depending on parameters (it corresponds to abstract splines with the tension). Our main result consists in the representation of this kind of spline as the function of parameters in energy operator. It provides the explicit calculation of various criteria functions for forthcoming choice of optimal parameters. 
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     author = {V. A. Vasilenko and A. V. Elyseev},
     title = {Abstract splines with the tension as the functions of parameters in energy operator},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {301--311},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a1/}
}
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V. A. Vasilenko; A. V. Elyseev. Abstract splines with the tension as the functions of parameters in energy operator. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 4, pp. 301-311. http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a1/