Optimal algorithms for the reconstruction of functions and the computation of integrals in a~class of infinitely differentiable functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (1998), pp. 14-20.

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

@article{IVM_1998_9_a1,
     author = {I. V. Boykov},
     title = {Optimal algorithms for the reconstruction of functions and the computation of integrals in a~class of infinitely differentiable functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {14--20},
     publisher = {mathdoc},
     number = {9},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_1998_9_a1/}
}
TY  - JOUR
AU  - I. V. Boykov
TI  - Optimal algorithms for the reconstruction of functions and the computation of integrals in a~class of infinitely differentiable functions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 1998
SP  - 14
EP  - 20
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_1998_9_a1/
LA  - ru
ID  - IVM_1998_9_a1
ER  - 
%0 Journal Article
%A I. V. Boykov
%T Optimal algorithms for the reconstruction of functions and the computation of integrals in a~class of infinitely differentiable functions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 1998
%P 14-20
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_1998_9_a1/
%G ru
%F IVM_1998_9_a1
I. V. Boykov. Optimal algorithms for the reconstruction of functions and the computation of integrals in a~class of infinitely differentiable functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (1998), pp. 14-20. http://geodesic.mathdoc.fr/item/IVM_1998_9_a1/

[1] Babenko K. I., “O nekotorykh zadachakh teorii priblizhenii i chislennogo analiza”, UMN, 40:1 (1985), 3–27 | MR | Zbl

[2] Boikov I. V., “Optimalnye po tochnosti algoritmy vychisleniya integralov”, Optimaln. metody vychisl. i ikh primenenie, Mezhvuz. sb. nauch. tr., no. 8, Penz. politekhn. in-t, Penza, 1987, 4–22 | MR | Zbl

[3] Boikov I. V., Passivnye i adaptivnye algoritmy priblizhennogo vychisleniya singulyarnykh integralov, Izd-vo Penz. gos. tekhn. un-ta, Penza, 1995, 214 pp. | MR

[4] Boikov I. V., “Optimalnye kubaturnye formuly vychisleniya mnogomernykh integralov na klasse $Q_{r,\gamma}(\Omega, 1)$”, Zhurn. vychisl. matem. i matem. fiz., 30:8 (1990), 1123–1132 | MR

[5] K. I. Babenko (red.), Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov zadach matematicheskoi fiziki, Nauka, M., 1979, 296 pp. | MR

[6] Bakhvalov N. S., “O svoistvakh optimalnykh metodov resheniya zadach matematicheskoi fiziki”, Zhurn. vychisl. matem. i matem. fiz., 10:3 (1970), 555–568 | MR | Zbl

[7] Sobolev S. L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974, 808 pp. | MR

[8] Timan A. F., Teoriya priblizheniya funktsii deistvitelnogo peremennogo, Fizmatgiz, M., 1960, 624 pp.