Geodesic
Application of integrodifferential splines to solving an interpolation problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1966-1978 
I. G. Burova; O. V. Rodnikova. Application of integrodifferential splines to solving an interpolation problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1966-1978. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a9/
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     title = {Application of integrodifferential splines to solving an interpolation problem},
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper deals with cases when the values of derivatives of a function are given at grid nodes or the values of integrals of a function over grid intervals are known. Polynomial and trigonometric integrodifferential splines for computing the value of a function from given values of its nodal derivatives and/or from its integrals over grid intervals are constructed. Error estimates are obtained, and numerical results are presented.

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