On the Uniform Convergence of a Kind Quadrature Rule for Cauchy Type Singular Integrals
一种Cauchy型主值积分的求积公式的一致收敛性

In this paper, the author first gives a kind quadrature rule $\Phi_m^{*}(wf,x)$ for Cauchy type singular integral $\Phi(wf,x)$, then proves the sequence $\{\Phi_m^{*}(wf,x)\}_{m=2}^{\infty}$ is uniformly convergent to $\Phi(wf,x)$ on the interval $-1,1]$, at that time gives its error bounds.