On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials

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.