Geodesic
Interpolation by the simplest fractions
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 2, pp. 30-37

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

The interpolation by means of real simplest fractions is considered. There are offered a different ways of intepolating simpest fractions construction with distinct real nodes. Necessary and sufficient conditions of existence and uniqueness of interpolating simplest fractions are received. Interpolation of constants is in detail investigated; in this case the estimation of an error of interpolation on Chebyshev's system of nodes is received. 
@article{ISU_2009_9_2_a5,
     author = {E. N. Kondakova},
     title = {Interpolation by the simplest fractions},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {30--37},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2009_9_2_a5/}
}
TY  - JOUR
AU  - E. N. Kondakova
TI  - Interpolation by the simplest fractions
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2009
SP  - 30
EP  - 37
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2009_9_2_a5/
LA  - ru
ID  - ISU_2009_9_2_a5
ER  - 
%0 Journal Article
%A E. N. Kondakova
%T Interpolation by the simplest fractions
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2009
%P 30-37
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2009_9_2_a5/
%G ru
%F ISU_2009_9_2_a5
E. N. Kondakova. Interpolation by the simplest fractions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 2, pp. 30-37. http://geodesic.mathdoc.fr/item/ISU_2009_9_2_a5/