Geodesic
On quasilinear interpolation by minimal splines
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 94-111

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper studies quasilinear interpolation by minimal splines that are constructed on nonuniform grids with multiple nodes. Asymptotic representations for normalized splines are obtained.The sharpness of biorthogonal approximation and the order of accuracy of quasilinear interpolation with respect to the grid step are established. Results of numerical experiments on approximating some test functions, which demonstrate the effect of choosing a generating vector function in constructing the corresponding minimal spline, are presented. 
@article{ZNSL_2023_524_a7,
     author = {L. P. Livshits and A. A. Makarov and S. V. Makarova},
     title = {On quasilinear interpolation by minimal splines},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {94--111},
     publisher = {mathdoc},
     volume = {524},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a7/}
}
TY  - JOUR
AU  - L. P. Livshits
AU  - A. A. Makarov
AU  - S. V. Makarova
TI  - On quasilinear interpolation by minimal splines
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2023
SP  - 94
EP  - 111
VL  - 524
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a7/
LA  - ru
ID  - ZNSL_2023_524_a7
ER  - 
%0 Journal Article
%A L. P. Livshits
%A A. A. Makarov
%A S. V. Makarova
%T On quasilinear interpolation by minimal splines
%J Zapiski Nauchnykh Seminarov POMI
%D 2023
%P 94-111
%V 524
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a7/
%G ru
%F ZNSL_2023_524_a7
L. P. Livshits; A. A. Makarov; S. V. Makarova. On quasilinear interpolation by minimal splines. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 94-111. http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a7/