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The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

For classes of periodic functions defined by constraints imposed on the $L_1$-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best $L_1$-approximations by generalized splines from the classes...

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Datum:1998
Hauptverfasser: Babenko, V. F., Leis, Azar, Бабенко, В. Ф., Лейс, Азар
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4796
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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 Babenko, V. F.
Leis, Azar
Бабенко, В. Ф.
Лейс, Азар
Бабенко, В. Ф.
Лейс, Азар
author_facet Babenko, V. F.
Leis, Azar
Бабенко, В. Ф.
Лейс, Азар
Бабенко, В. Ф.
Лейс, Азар
author_sort Babenko, V. F.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T21:14:51Z
description For classes of periodic functions defined by constraints imposed on the $L_1$-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best $L_1$-approximations by generalized splines from the classes considered.
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spelling umjimathkievua-article-47962020-03-18T21:14:51Z The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes Наилучшие $L_1$-приближения классов функций, задаваемых дифференциальными операторами, обобщенными сплайнами из этих классов Babenko, V. F. Leis, Azar Бабенко, В. Ф. Лейс, Азар Бабенко, В. Ф. Лейс, Азар For classes of periodic functions defined by constraints imposed on the $L_1$-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best $L_1$-approximations by generalized splines from the classes considered. Знайдені точні значення найкращих $L_1$-наближень класів періодичних функцій, що задаються обмеженнями на $L_1$-норму результату застосування до них диференціальних операторів з постійними коефіцієнтами та дійсним спектром, узагальненими сплайнами з цих класів. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4796 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1443-1451 Український математичний журнал; Том 50 № 11 (1998); 1443-1451 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4796/6291 https://umj.imath.kiev.ua/index.php/umj/article/view/4796/6292 Copyright (c) 1998 Babenko V. F.; Leis Azar
spellingShingle Babenko, V. F.
Leis, Azar
Бабенко, В. Ф.
Лейс, Азар
Бабенко, В. Ф.
Лейс, Азар
The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
title The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
title_alt Наилучшие $L_1$-приближения классов функций, задаваемых дифференциальными операторами, обобщенными сплайнами из этих классов
title_full The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
title_fullStr The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
title_full_unstemmed The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
title_short The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
title_sort best $l_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
url https://umj.imath.kiev.ua/index.php/umj/article/view/4796
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