On a suboptimal filtration method for solving convolution-type integral equations of the first kind
The paper analyzes the Arsenin local regularization method for solving first kind convolution-type integral equations. It is shown that only one step of the iterative scheme gives the best approximation to the solution. The interpretation of the mentioned method as method of suboptimal filtration leads to a new variant of a suboptimal filtration method for solving the ill-posed problem.
convolution-type integral equation of the first kind
scientific article; zbMATH DE number 1228536
scientific article