Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 9, pp. 1442-1557
A. P. Khromov; G. V. Khromova. Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 9, pp. 1442-1557. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a1/
@article{ZVMMF_2014_54_9_a1,
     author = {A. P. Khromov and G. V. Khromova},
     title = {Discontinuous {Steklov} operators in the problem of uniform approximation of derivatives on an interval},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1442--1557},
     year = {2014},
     volume = {54},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a1/}
}
TY  - JOUR
AU  - A. P. Khromov
AU  - G. V. Khromova
TI  - Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2014
SP  - 1442
EP  - 1557
VL  - 54
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a1/
LA  - ru
ID  - ZVMMF_2014_54_9_a1
ER  - 
%0 Journal Article
%A A. P. Khromov
%A G. V. Khromova
%T Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2014
%P 1442-1557
%V 54
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a1/
%G ru
%F ZVMMF_2014_54_9_a1

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

With the help of discontinuous Steklov operators, families of integral operators are constructed, which are used to obtain uniform approximations to derivatives of an arbitrary order for a function given on an interval.

[1] Khromov A. P., Khromova G. V., “Ob odnoi modifikatsii operatora Steklova. Sovr. probl. teorii funktsii i ikh prilozheniya”, Tezisy dokl. Sarat. zimn. shk., Izd-vo Sarat. un-ta, Saratov, 2010, 181

[2] Khromov A. A., “O priblizhenii funktsii vmeste s ee proizvodnoi na otrezke. Sovr. probl. teorii funktsii i ikh prilozheniya”, Materialy 17-i mezhdun. Sarat. zimn. shk., Nauchnaya kniga, Saratov, 2014, 285–287

[3] Ivanov V. K., “Ob integralnykh uravneniyakh Fredgolma pervogo roda”, Differents. ur-niya, 3:3 (1967), 410–421

[4] Krechmar V. A., Zadachnik po algebre, Nauka, M., 1968