Geodesic
Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 479-488 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

On the spaces $S_p$ and $H_\alpha$, the estimates are found for the norm of the error functional of quadrature formulas possessing the Haar $d$-property.
Keywords: Haar $d$-property, error functional of quadrature formula, function spaces $S_p$
Mots-clés : $H_\alpha$. 
@article{JSFU_2011_4_4_a5,
     author = {Kirill A. Kirillov},
     title = {Estimates for the norm of the error functional of quadrature formulas exact for {Haar} polynomials},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {479--488},
     year = {2011},
     volume = {4},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a5/}
}
TY  - JOUR
AU  - Kirill A. Kirillov
TI  - Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2011
SP  - 479
EP  - 488
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a5/
LA  - ru
ID  - JSFU_2011_4_4_a5
ER  - 
%0 Journal Article
%A Kirill A. Kirillov
%T Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2011
%P 479-488
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a5/
%G ru
%F JSFU_2011_4_4_a5
Kirill A. Kirillov. Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 479-488. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a5/

[1] I. M. Sobol, Mnogomernye kvadraturnye formuly i funktsii Khaara, Nauka, M., 1969 | MR

[2] K. A. Kirillov, M. V. Noskov, “Minimalnye kvadraturnye formuly, tochnye dlya polinomov Khaara”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 42:6 (2002), 791–799 | MR | Zbl

[3] M. V. Noskov, K. A. Kirillov, “Minimal cubature formulas exact for Haar polynomials”, Journal of Approximation Theory, 162:3 (2010), 615–627 | DOI | MR | Zbl

[4] K. A. Kirillov, “Ob otsenke pogreshnosti minimalnykh vesovykh kvadraturnykh formul, tochnykh dlya funktsii Khaara”, Vychislitelnye tekhnologii, 11, spets. vypusk (2006), 44–50 | MR | Zbl

[5] A. Haar, “Zur Theorie der orthogonalen Funktionensysteme”, Math. Ann., 69 (1910), 331–371 | DOI | MR | Zbl