Number: Math 86/95
Author(s): LEPP, Riho.
Title: Discretization of regularized integral equations in L.
Language: English
Keywords: regularization; discrete convergence; essentially bounded
functions; consistency of norms; 65J20; 65D15; 90C30
ABSTRACT. The Fredholm integral equation of the first kind in the
space of essentially bounded functions is regularized by the
Tykhonov method. The regularized minimization problem is
approximated by a sequence of finite dimensional minimization
problems. Correctness of approximation is guaranteed by the norm
consistency property of the discrete approximation of the space
of essentially bounded functions.