On error for Cauchy principal integrals and Cauchy-type integrals under perturbation of integral curve and their applications

被引：1

作者：

Lin, Feng ^{[1
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 11期

关键词：

transformation formula; Cauchy type integral; Cauchy principal integral; smooth perturbation; Riemann boundary value problem; BOUNDARY-VALUE PROBLEM;

D O I：

10.1080/17476933.2015.1022167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The transformation formula between Cauchy principal integral along a smooth curve Gamma and its smooth perturbation curve Gamma(delta) is given. Then using this transformation formula, some error estimates between Cauchy principal integral and Cauchy-type integral along such two curves are obtained, a application of these error estimates is given as well as.

引用

页码：1457 / 1474

页数：18

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