A modified convergence analysis for solving Fredholm integral equations of the first kind

Rajan MP

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A modified convergence analysis for solving Fredholm integral equations of the first kind

机译：求解第一类Fredholm积分方程的改进收敛性分析

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In this paper, we consider a modified convergence analysis for solving Fredholm integral equations of the first kind in Hilbert space setting using Tikhonov regularization. We follow a general approach which not only includes, as special case, the results of Groetsch[2] but also obtain the same with weaker assumptions.

机译：在本文中，我们考虑使用Tikhonov正则化在希尔伯特空间设置中求解第一类Fredholm积分方程的改进收敛分析。我们遵循一种通用方法，该方法不仅包括作为特殊情况的Groetsch [2]的结果，而且在较弱的假设下也可以得到相同的结果。

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《Integral equations and operator theory》 |2004年第4期|共6页
作者
Rajan MP;
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正文语种 eng
中图分类数学;
关键词
ill-posed problems; Tikhonov regularization;

机译：不适定的问题;Tikhonov正则化;

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专利

1. A modified convergence analysis for solving Fredholm integral equations of the first kind [J] . Rajan MP Integral equations and operator theory . 2004,第4期

机译：求解第一类Fredholm积分方程的改进收敛性分析
2. Convergence analysis of Legendre wavelets method for solving Fredholm integral equations [J] . A. Mareno Applied mathematical sciences . 2012,第45a48期

机译：求解Fredholm积分方程的Legendre小波方法的收敛性分析。
3. Application of Chebyshev Polynomials for Solving Nonlinear Volterra-fredholm Integral Equations System and Convergence Analysis [J] . R. Ezzati, S. Najafalizadeh Indian Journal of Science and Technology . 2012,第2期

机译：Chebyshev多项式在求解非线性Volterra-fredholm积分方程组和收敛性分析中的应用
4. Convergency and Error Estimate of Nonlinear Fredholm Fuzzy Integral Equations of the Second Kind by Homotopy Analysis Method [C] . Lotfi M. Computer Engineering and Applications (ICCEA), 2010 . 2010

机译：第二类非线性Fredholm模糊积分方程的同伦分析方法的收敛性和误差估计
5. THE NUMERICAL SOLUTION OF LINEAR FIRST KIND FREDHOLM INTEGRAL EQUATIONS USING AN ITERATIVE METHOD [D] . SCHMIDT, ROBERT CRAIG 1987

机译：线性一类Fredholm积分方程的迭代法数值解
6. The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations [O] . Behzad Ghanbari -1

机译：求解非线性Volterra-Fredholm积分微分方程的同伦分析方法的收敛性研究
7. Convergence Analysis of Parabolic Basis Functions for Solving Systems of Linear and Nonlinear Fredholm Integral Equations [O] . Yousef JAFARZADEH, Bagher KERAMATI 2017

机译：抛物线基函数的收敛性分析，用于求解线性和非线性Fredholm整体方程的系统

A modified convergence analysis for solving Fredholm integral equations of the first kind

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