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.
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页码：1457 / 1474
页数：18
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