Averaging initial data in applied problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1802-1808 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A method for averaging experimental data is proposed and formulas for averaged values of these data are given. A two-sided estimate accurate to the order of approximation of the averaged data is obtained.
@article{ZVMMF_2006_46_10_a8,
     author = {S. V. Bulycheva},
     title = {Averaging initial data in applied problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1802--1808},
     year = {2006},
     volume = {46},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a8/}
}
TY  - JOUR
AU  - S. V. Bulycheva
TI  - Averaging initial data in applied problems
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2006
SP  - 1802
EP  - 1808
VL  - 46
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a8/
LA  - ru
ID  - ZVMMF_2006_46_10_a8
ER  - 
%0 Journal Article
%A S. V. Bulycheva
%T Averaging initial data in applied problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 1802-1808
%V 46
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a8/
%G ru
%F ZVMMF_2006_46_10_a8
S. V. Bulycheva. Averaging initial data in applied problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1802-1808. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a8/

[1] Bushmanova M. V., Khromova G. V., “O tochnosti rezultatov pri vosstanovlenii eksperimentalno zadannoi funktsii”, Matematika. Prilozh. matem. v ekonomich., tekhn. i pedagogich. issled., v. 2, Izd-vo MGTU, Magnitogorsk, 2004, 3–8

[2] Lantsosh K., Prakticheskie metody vysshego analiza, Fizmatgiz, M., 1961

[3] Khromova G. V., “O zadache vosstanovleniya funktsii, zadannykh s pogreshnostyu”, Zh. vychisl. matem. i matem. fiz., 17:5 (1977), 1161–1171 | MR | Zbl