Buchumschlag

Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions

We consider some classes of Fredholm equations with integral operators acting in spaces of periodic analytic functions. For these classes, we establish the exact order of the optimal rates of convergence for some versions of the method of iterative projections and KP methods.

Gespeichert in:
Bibliographische Detailangaben
Datum:1994
Hauptverfasser: Askarov, M., Pereverzev, S. V., Аскаров, М., Переверзєв, С. В.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5637
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
_version_ 1860511866270253056
author Askarov, M.
Pereverzev, S. V.
Аскаров, М.
Переверзєв, С. В.
author_facet Askarov, M.
Pereverzev, S. V.
Аскаров, М.
Переверзєв, С. В.
author_sort Askarov, M.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-19T09:14:58Z
description We consider some classes of Fredholm equations with integral operators acting in spaces of periodic analytic functions. For these classes, we establish the exact order of the optimal rates of convergence for some versions of the method of iterative projections and KP methods.
first_indexed 2026-03-24T03:19:42Z
format Article
fulltext 0093 0094 0095 0096 0097 0098 0099 0100
id umjimathkievua-article-5637
institution Ukrains’kyi Matematychnyi Zhurnal
keywords_txt_mv keywords
language Ukrainian
English
last_indexed 2026-03-24T03:19:42Z
publishDate 1994
publisher Institute of Mathematics, NAS of Ukraine
record_format ojs
resource_txt_mv umjimathkievua/dc/e3892d91ac122cd248ccb0eccc0b40dc.pdf
spelling umjimathkievua-article-56372020-03-19T09:14:58Z Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions Оптимальная скорость сходимости некоторых аппроксимационно-итеративных методов для уравнений Фредгольма в пространствах периодических аналитических функций Askarov, M. Pereverzev, S. V. Аскаров, М. Переверзєв, С. В. We consider some classes of Fredholm equations with integral operators acting in spaces of periodic analytic functions. For these classes, we establish the exact order of the optimal rates of convergence for some versions of the method of iterative projections and KP methods. Classes of Fredholm equations with integral operators acting into spaces of periodic analytic f unctions are considered. For these classes, we find the exact order of optimal convergence rates for some versions of the projective-iteration method and the KR - method. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5637 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1208–1215 Український математичний журнал; Том 46 № 9 (1994); 1208–1215 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5637/7959 https://umj.imath.kiev.ua/index.php/umj/article/view/5637/7960 Copyright (c) 1994 Askarov M.; Pereverzev S. V.
spellingShingle Askarov, M.
Pereverzev, S. V.
Аскаров, М.
Переверзєв, С. В.
Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
title Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
title_alt Оптимальная скорость сходимости некоторых аппроксимационно-итеративных методов для уравнений Фредгольма в пространствах периодических аналитических функций
title_full Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
title_fullStr Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
title_full_unstemmed Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
title_short Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
title_sort optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions
url https://umj.imath.kiev.ua/index.php/umj/article/view/5637
work_keys_str_mv AT askarovm optimalratesofconvergenceofsomeiterativeapproximationmethodsforthesolutionoffredholmequationsinspacesofperiodicanalyticfunctions
AT pereverzevsv optimalratesofconvergenceofsomeiterativeapproximationmethodsforthesolutionoffredholmequationsinspacesofperiodicanalyticfunctions
AT askarovm optimalratesofconvergenceofsomeiterativeapproximationmethodsforthesolutionoffredholmequationsinspacesofperiodicanalyticfunctions
AT pereverzêvsv optimalratesofconvergenceofsomeiterativeapproximationmethodsforthesolutionoffredholmequationsinspacesofperiodicanalyticfunctions
AT askarovm optimalʹnaâskorostʹshodimostinekotoryhapproksimacionnoiterativnyhmetodovdlâuravnenijfredgolʹmavprostranstvahperiodičeskihanalitičeskihfunkcij
AT pereverzevsv optimalʹnaâskorostʹshodimostinekotoryhapproksimacionnoiterativnyhmetodovdlâuravnenijfredgolʹmavprostranstvahperiodičeskihanalitičeskihfunkcij
AT askarovm optimalʹnaâskorostʹshodimostinekotoryhapproksimacionnoiterativnyhmetodovdlâuravnenijfredgolʹmavprostranstvahperiodičeskihanalitičeskihfunkcij
AT pereverzêvsv optimalʹnaâskorostʹshodimostinekotoryhapproksimacionnoiterativnyhmetodovdlâuravnenijfredgolʹmavprostranstvahperiodičeskihanalitičeskihfunkcij

Ähnliche Einträge