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
Cet article a éte moissonné depuis la source Math-Net.Ru
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},
year = {2012},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a3/}
}
TY - JOUR AU - K. A. Kirillov TI - Estimates for the norm of the error functional in the spaces $S_p$ for the weight quadrature formulas exact for Haar polynomials JO - Numerical methods and programming PY - 2012 SP - 324 EP - 331 VL - 13 IS - 2 UR - http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a3/ LA - ru ID - VMP_2012_13_2_a3 ER -
%0 Journal Article %A K. A. Kirillov %T Estimates for the norm of the error functional in the spaces $S_p$ for the weight quadrature formulas exact for Haar polynomials %J Numerical methods and programming %D 2012 %P 324-331 %V 13 %N 2 %U http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a3/ %G ru %F VMP_2012_13_2_a3
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/