Quadrature formulas of quasi-interpolation type for singular integrals with Hilbert kernel

被引：2

作者：

Du, JY ^{[1
]}

机构：

[1] Wuhan Univ, Dept Math, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF APPROXIMATION THEORY | 1998年 / 93卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first establish quadrature formulas of trigonometric interpolation type for proper integrals of periodic functions with periodic weight, then we use the method of separation of singularities to derive those for corresponding singular integrals with Hilbert kernel. The trigonometric precision, the type, the estimate of the remainder, and the convergence of each quadrature formula derived here are also established. (C) 1998 Academic Press.

引用

页码：231 / 257

页数：27

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