On a suboptimal filtration method for solving convolution-type integral equations of the first kind
type: Item
instance of: scholarly article
title: On a suboptimal filtration method for solving convolution-type integral equations of the first kind
zbMATH Open document ID: 0915.65138
author: Valery Sizikov
author: H. Brunner
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-06-16T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 65R30
zbMATH DE Number: 1228536
zbMATH Keywords: convolution-type integral equation of the first kind
zbMATH Keywords: ill-posed problem
zbMATH Keywords: Arsenin local regularization method
zbMATH Keywords: suboptimal and optimal filtration
reviewed by: Gunther Schmidt
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6052
OpenAlex ID: W2039491041
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DOI: 10.1006/JMAA.1998.6052
description: scientific article; zbMATH DE number 1228536