Geodesic
Estimates for the norm of the error functional in the spaces $S_p$ for the weight quadrature formulas exact for Haar polynomials
Numerical methods and programming, Tome 13 (2012) no. 2, pp. 324-331.

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The following estimates for the norm of the error functional are obtained in the spaces $S_p$: a low estimate of $\|\delta_N\|_{S_p^*}$ in the case of the quadrature formulas exact for constants and some upper estimates of $\|\delta_N\|_{S_p^*}$ in the case of the quadrature formulas possessing the Haar $d$-property.
Keywords: Haar $d$-property; error functional of quadrature formula; function spaces $S_p$. 
@article{VMP_2012_13_2_a3,
     author = {K. A. Kirillov},
     title = {Estimates for the norm of the error functional in the spaces $S_p$ for the weight quadrature formulas exact for {Haar} polynomials},
     journal = {Numerical methods and programming},
     pages = {324--331},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a3/}
}
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K. A. Kirillov. Estimates for the norm of the error functional in the spaces $S_p$ for the weight quadrature formulas exact for Haar polynomials. Numerical methods and programming, Tome 13 (2012) no. 2, pp. 324-331. http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a3/