Information complexity of projection algorithms for the solution of Fredholm equations of the first kind. I

We construct a new system of discretization of the Fredholm integral equations of the first kind with linear compact operators A and free terms from the set Range (A(A*A)V), v > 1/2. The approach proposed enables one to obtain the optimal order of error on such classes of equations by using a...

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Bibliographic Details
Date:1998
Main Authors: Solodkii, S. G., Солодкий, С. Г.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4908
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal