On error estimates in $S_p$ for cubature formulas exact for Haar polynomials
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 4, pp. 398-413
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On the spaces $S_p$, an upper and lower estimates for the norm of the error functional cubature formulas possessing the Haar $d$-property are obtained for the $n$-dimensional case.
Keywords:
Haar $d$-property, error estimates for cubature formulas, function spaces $S_p$.
@article{JSFU_2020_13_4_a1,
author = {Kirill A. Kirillov},
title = {On error estimates in $S_p$ for cubature formulas exact for {Haar} polynomials},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {398--413},
publisher = {mathdoc},
volume = {13},
number = {4},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a1/}
}
TY - JOUR AU - Kirill A. Kirillov TI - On error estimates in $S_p$ for cubature formulas exact for Haar polynomials JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2020 SP - 398 EP - 413 VL - 13 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a1/ LA - en ID - JSFU_2020_13_4_a1 ER -
%0 Journal Article %A Kirill A. Kirillov %T On error estimates in $S_p$ for cubature formulas exact for Haar polynomials %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2020 %P 398-413 %V 13 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a1/ %G en %F JSFU_2020_13_4_a1
Kirill A. Kirillov. On error estimates in $S_p$ for cubature formulas exact for Haar polynomials. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 4, pp. 398-413. http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a1/