On Cubic Operators Defined on Finite-Dimensional Simplexes

We introduce the concept of cubic operator. For one class of cubic operators defined on finite-dimensional simplexes, a complete description of the behavior of their trajectories is given. The convergence of Cesaro means is established.

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Datum:2004
Hauptverfasser: Rozikov, U. A., Розиков, У. А.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3855
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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author Rozikov, U. A.
Розиков, У. А.
Розиков, У. А.
author_facet Rozikov, U. A.
Розиков, У. А.
Розиков, У. А.
author_sort Rozikov, U. A.
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datestamp_date 2020-03-18T20:12:30Z
description We introduce the concept of cubic operator. For one class of cubic operators defined on finite-dimensional simplexes, a complete description of the behavior of their trajectories is given. The convergence of Cesaro means is established.
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spelling umjimathkievua-article-38552020-03-18T20:12:30Z On Cubic Operators Defined on Finite-Dimensional Simplexes О кубических операторах, определенных па конечномерных симплексах Rozikov, U. A. Розиков, У. А. Розиков, У. А. We introduce the concept of cubic operator. For one class of cubic operators defined on finite-dimensional simplexes, a complete description of the behavior of their trajectories is given. The convergence of Cesaro means is established. Введено поняття кубічного оператора. Для одного класу кубічних операторів, визначених на скінченновимірних симплексах, напедено перший опис поведінки траекторії. Показано збіжність середніх за Чезаро. Institute of Mathematics, NAS of Ukraine 2004-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3855 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 10 (2004); 1424-1433 Український математичний журнал; Том 56 № 10 (2004); 1424-1433 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3855/4429 https://umj.imath.kiev.ua/index.php/umj/article/view/3855/4430 Copyright (c) 2004 Rozikov U. A.
spellingShingle Rozikov, U. A.
Розиков, У. А.
Розиков, У. А.
On Cubic Operators Defined on Finite-Dimensional Simplexes
title On Cubic Operators Defined on Finite-Dimensional Simplexes
title_alt О кубических операторах, определенных па конечномерных симплексах
title_full On Cubic Operators Defined on Finite-Dimensional Simplexes
title_fullStr On Cubic Operators Defined on Finite-Dimensional Simplexes
title_full_unstemmed On Cubic Operators Defined on Finite-Dimensional Simplexes
title_short On Cubic Operators Defined on Finite-Dimensional Simplexes
title_sort on cubic operators defined on finite-dimensional simplexes
url https://umj.imath.kiev.ua/index.php/umj/article/view/3855
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