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

Journal of Mathematical Analysis and Applications

Volumn 279, Issue 2, 2003, Pages 522-530

  Rajan, M P ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Ill posed problems; Tikhonov regularization

Indexed keywords

EID: 0037845247     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00027-1     Document Type: Article

References (5)

1. C.W. Groetsch, The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Pitman, London, 1984.
2. C.W. Groetsch, Uniform convergence of regularization methods for Fredholm equations of the first kind, J. Austral. Math. Soc. Ser. A 39 (1985) 282-286.
3. C.W. Groetsch, Convergence analysis of a regularized degenerate kernel method for Fredholm equation of first kind, Integral Equations Operator Theory 13 (1990) 67-75.
4. M.T. Nair, A unified approach for regularized approximation methods for Fredholm integral equations of the first kind, Numer. Funct. Anal. Optim. 15 (1994) 381-389.
5. M.P. Rajan, A modified convergence analysis for solving Fredholm integral equations of the first kind, submitted.