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Approximation of the $| x |^r$ function and its derivatives

We consider the problem of an effective approximation of derivatives of the function $|x|^r,r>1$, in $C[-1,1]$ with the aid of polynomials introduced by V. K. Dzyadyk.

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Datum:1990
Hauptverfasser: Shvai, A. I., Antonyuk, P. E., Dzyadyk, S. Yu., Zaritskaya, Z. V., Швай, А. И., Антонюк, П. Е., Дзядык , С. Ю., Зарицкая, З. В.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1990
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8845
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Shvai, A. I.
Antonyuk, P. E.
Dzyadyk, S. Yu.
Zaritskaya, Z. V.
Швай, А. И.
Антонюк, П. Е.
Дзядык , С. Ю.
Зарицкая, З. В.
author_facet Shvai, A. I.
Antonyuk, P. E.
Dzyadyk, S. Yu.
Zaritskaya, Z. V.
Швай, А. И.
Антонюк, П. Е.
Дзядык , С. Ю.
Зарицкая, З. В.
author_sort Shvai, A. I.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2024-11-14T10:10:56Z
description We consider the problem of an effective approximation of derivatives of the function $|x|^r,r>1$, in $C[-1,1]$ with the aid of polynomials introduced by V. K. Dzyadyk.
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spelling umjimathkievua-article-88452024-11-14T10:10:56Z Approximation of the $| x |^r$ function and its derivatives Приближение функции $| x |^r$ и ее производных Shvai, A. I. Antonyuk, P. E. Dzyadyk, S. Yu. Zaritskaya, Z. V. Швай, А. И. Антонюк, П. Е. Дзядык , С. Ю. Зарицкая, З. В. We consider the problem of an effective approximation of derivatives of the function $|x|^r,r>1$, in $C[-1,1]$ with the aid of polynomials introduced by V. K. Dzyadyk. Рассмотрены вопросы эффективного приближения в $C[-1,1]$ производных функции $|x|^r,r>1$, при помощи многочленов, введенных В. К. Дзядыком. Розглянуті питання ефективного наближення в $C[-1,1]$ похідних функції $|x|^r,r>1$, за допомогою многочленів, впроваджених В. К. Дзядиком. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8845 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 821-826 Український математичний журнал; Том 42 № 6 (1990); 821-826 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8845/10265 Copyright (c) 1990 A. I. Shvai, P. E. Antonyuk, S. Yu. Dzyadyk, Z. V. Zaritskaya
spellingShingle Shvai, A. I.
Antonyuk, P. E.
Dzyadyk, S. Yu.
Zaritskaya, Z. V.
Швай, А. И.
Антонюк, П. Е.
Дзядык , С. Ю.
Зарицкая, З. В.
Approximation of the $| x |^r$ function and its derivatives
title Approximation of the $| x |^r$ function and its derivatives
title_alt Приближение функции $| x |^r$ и ее производных
title_full Approximation of the $| x |^r$ function and its derivatives
title_fullStr Approximation of the $| x |^r$ function and its derivatives
title_full_unstemmed Approximation of the $| x |^r$ function and its derivatives
title_short Approximation of the $| x |^r$ function and its derivatives
title_sort approximation of the $| x |^r$ function and its derivatives
url https://umj.imath.kiev.ua/index.php/umj/article/view/8845
work_keys_str_mv AT shvaiai approximationofthexrfunctionanditsderivatives
AT antonyukpe approximationofthexrfunctionanditsderivatives
AT dzyadyksyu approximationofthexrfunctionanditsderivatives
AT zaritskayazv approximationofthexrfunctionanditsderivatives
AT švajai approximationofthexrfunctionanditsderivatives
AT antonûkpe approximationofthexrfunctionanditsderivatives
AT dzâdyksû approximationofthexrfunctionanditsderivatives
AT zarickaâzv approximationofthexrfunctionanditsderivatives
AT shvaiai približeniefunkciixrieeproizvodnyh
AT antonyukpe približeniefunkciixrieeproizvodnyh
AT dzyadyksyu približeniefunkciixrieeproizvodnyh
AT zaritskayazv približeniefunkciixrieeproizvodnyh
AT švajai približeniefunkciixrieeproizvodnyh
AT antonûkpe približeniefunkciixrieeproizvodnyh
AT dzâdyksû približeniefunkciixrieeproizvodnyh
AT zarickaâzv približeniefunkciixrieeproizvodnyh

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