Geodesic
On the construction of approximations to continuous functions under integral boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1370-1375 
A. A. Khromov; G. V. Khromova. On the construction of approximations to continuous functions under integral boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1370-1375. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a1/
@article{ZVMMF_2011_51_8_a1,
     author = {A. A. Khromov and G. V. Khromova},
     title = {On the construction of approximations to continuous functions under integral boundary conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1370--1375},
     year = {2011},
     volume = {51},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a1/}
}
TY  - JOUR
AU  - A. A. Khromov
AU  - G. V. Khromova
TI  - On the construction of approximations to continuous functions under integral boundary conditions
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 1370
EP  - 1375
VL  - 51
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a1/
LA  - ru
ID  - ZVMMF_2011_51_8_a1
ER  - 
%0 Journal Article
%A A. A. Khromov
%A G. V. Khromova
%T On the construction of approximations to continuous functions under integral boundary conditions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 1370-1375
%V 51
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a1/
%G ru
%F ZVMMF_2011_51_8_a1

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

On the basis of the resolvent of a simple differential operator, a method for finding approximations to continuous functions is constructed. In this method, both the approximated function and its approximations satisfy the given integral boundary condition

[1] Khromova G. V., “Priblizhayuschie svoistva rezolvent differentsialnykh operatorov v zadache priblizheniya funktsii i ikh proizvodnykh”, Zh. vychisl. matem. i matem. fiz., 38:7 (1998), 1106–1113 | MR | Zbl

[2] Khromov A. A., “Priblizhayuschie svoistva stepenei rezolventy operatora differentsirovaniya”, Izv. Saratovskogo un-ta. Ser. Matematika. Mekhanika. Informatika, 9:3 (2009), 75–78 | MR