%0 Journal Article
%T On the Uniform Convergence of a Kind Quadrature Rule for Cauchy Type Singular Integrals<br>一种Cauchy型主值积分的求积公式的一致收敛性
%A Cai Haotao
%A <br>蔡好涛
%J 数学物理学报(A辑)
%D 2006
%I 
%X 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.
%K Cauchy type singular integral
%K Dini conditions
%K Generalized Jacobi weight<br>Cauchy型主值积分
%K Dini条件
%K 广义Jacobi权函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=849D230702F841A9&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=38B194292C032A66&sid=65C08888CCE4801E&eid=F10601728A1E9BEA&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=4