On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 3, pp. 298-307
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On the spaces $S_p$, estimates are found for the norm of the error functional of weighted quadrature formulas. For quadrature formulas exact for constants a lower estimate of ${\left\|{\delta_{N}} \right\|}_{S_{p}^{\ast}}$ is proved, and for quadrature formulas possessing the Haar $d$-property upper estimates of the ${\left\|{\delta_{N}} \right\|}_{S_{p}^{\ast}}$ are obtained.
Keywords:
Haar $d$-property, error functional of a quadrature formula, function spaces $S_p$.
@article{JSFU_2013_6_3_a2,
author = {Kirill A. Kirillov},
title = {On {Error} {Estimates} for {Weighted} {Quadrature} {Formulas} {Exact} for {Haar} {Polynomials}},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {298--307},
publisher = {mathdoc},
volume = {6},
number = {3},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/}
}
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%0 Journal Article %A Kirill A. Kirillov %T On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2013 %P 298-307 %V 6 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/ %G en %F JSFU_2013_6_3_a2
Kirill A. Kirillov. On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 3, pp. 298-307. http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/