An error estimate for the Gauss-Lobatto quadrature formula for integration over the interval $[-1, 1]$, relative to the Jacobi weight function $w^{\alpha,\beta}(t)=(1-t)^\alpha(1+t)^\beta$, $\alpha,\beta>-1$, is obtained. This estimate holds true for functions belonging to some Sobolev-type subspaces of the weighted space $L_{w^{\alpha,\beta}}^1([-1,1])$.

翻译：获取了Gaus-Lobatto 等象方公式在间隔 $[1,1]$(与Jacobi 重量函数 $w ⁇ alpha,\beta}(t) =(1- t) ⁇ alpha(1+t) ⁇ beta$,$\alpha,\beta>-1$(美元)的错误估计值。对于加权空间的某个Sobolev型子空间的函数,这一估计值对L ⁇ w ⁇ alpha,\beta%1([1,1]美元)来说是正确的。