On finite-dimensional approximation of solutions of ill-posed problems

We show that the modified method for finite-dimensional approximation of solutions of Fredholm integral equations of the first kind presented in this paper is more economical than traditional methods for finite-dimensional approximation.

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Date:1997
Main Authors: Urumbaev, A. N., Урумбаев, А. Н.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5005
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Urumbaev, A. N.
Урумбаев, А. Н.
Урумбаев, А. Н.
author_facet Urumbaev, A. N.
Урумбаев, А. Н.
Урумбаев, А. Н.
author_sort Urumbaev, A. N.
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datestamp_date 2020-03-18T21:22:31Z
description We show that the modified method for finite-dimensional approximation of solutions of Fredholm integral equations of the first kind presented in this paper is more economical than traditional methods for finite-dimensional approximation.
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spelling umjimathkievua-article-50052020-03-18T21:22:31Z On finite-dimensional approximation of solutions of ill-posed problems К вопросу о конечномерной аппроксимации решений некорректных задач Urumbaev, A. N. Урумбаев, А. Н. Урумбаев, А. Н. We show that the modified method for finite-dimensional approximation of solutions of Fredholm integral equations of the first kind presented in this paper is more economical than traditional methods for finite-dimensional approximation. Показано, що наведений нижче модифікований метод наближеного розв'язування інтегральних рівнянь Фредгольма першого роду є більш економічним у порівнянні з традиційними методами скінченновимірної апроксимації. Institute of Mathematics, NAS of Ukraine 1997-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5005 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 2 (1997); 289–295 Український математичний журнал; Том 49 № 2 (1997); 289–295 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5005/6709 https://umj.imath.kiev.ua/index.php/umj/article/view/5005/6710 Copyright (c) 1997 Urumbaev A. N.
spellingShingle Urumbaev, A. N.
Урумбаев, А. Н.
Урумбаев, А. Н.
On finite-dimensional approximation of solutions of ill-posed problems
title On finite-dimensional approximation of solutions of ill-posed problems
title_alt К вопросу о конечномерной аппроксимации решений некорректных задач
title_full On finite-dimensional approximation of solutions of ill-posed problems
title_fullStr On finite-dimensional approximation of solutions of ill-posed problems
title_full_unstemmed On finite-dimensional approximation of solutions of ill-posed problems
title_short On finite-dimensional approximation of solutions of ill-posed problems
title_sort on finite-dimensional approximation of solutions of ill-posed problems
url https://umj.imath.kiev.ua/index.php/umj/article/view/5005
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