Geodesic
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 $S_p$. 
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     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},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/}
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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/