Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind

被引：28

作者：

Rajan, MP ^{[1
]}

机构：

[1] Johannes Kepler Univ, Inst Ind Math, A-4040 Linz, Austria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 279卷 / 02期

关键词：

ill-posed problems; Tikhonov regularization;

D O I：

10.1016/S0022-247X(03)00027-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest a convergence analysis for solving Fredholm integral equations of the first kind using Tikhonov regularization under supremum norm. We also provide an a priori parameter choice strategy for choosing the regularization parameter and obtain an error estimate. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：522 / 530

页数：9

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