Geodesic
Summation rational operators of the Jackson type
Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 270-277 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Summation rational positive operators $D_{4n-n}(x;f)$ of the Jackson type are constructed on the real axis. The corresponding approximations of continuous functions $f$ on $\mathbb R$ with coinciding finite limits $\lim_{x\to-\infty}f(x)$ and $\lim_{x\to+\infty}f(x)$ are estimated. 
@article{MZM_1997_61_2_a8,
     author = {E. A. Rovba},
     title = {Summation rational operators of the {Jackson} type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {270--277},
     year = {1997},
     volume = {61},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a8/}
}
TY  - JOUR
AU  - E. A. Rovba
TI  - Summation rational operators of the Jackson type
JO  - Matematičeskie zametki
PY  - 1997
SP  - 270
EP  - 277
VL  - 61
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a8/
LA  - ru
ID  - MZM_1997_61_2_a8
ER  - 
%0 Journal Article
%A E. A. Rovba
%T Summation rational operators of the Jackson type
%J Matematičeskie zametki
%D 1997
%P 270-277
%V 61
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a8/
%G ru
%F MZM_1997_61_2_a8
E. A. Rovba. Summation rational operators of the Jackson type. Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 270-277. http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a8/

[1] Rovba E. A., “Interpolyatsionnye ratsionalnye operatory tipa Feiera i Valle-Pussena”, Matem. zametki, 53:2 (1993), 114–121 | MR | Zbl

[2] Bugaets V. P., Martynyuk V. T., “Tochnaya konstanta priblizheniya nepreryvnykh funktsii summatornymi operatorami tipa Dzheksona”, Ukr. matem. zh., 29:6 (1977), 791–796 | MR | Zbl

[3] Rusak V. N., “O poryadke priblizheniya polozhitelnymi ratsionalnymi operatorami”, Izv. AN BSSR. Ser. fiz.-matem. nauki, 1975, no. 3, 39–46 | MR | Zbl

[4] Rusak V. N., Ratsionalnye funktsii kak apparat priblizheniya, Izd-vo BGU, Minsk, 1979