On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances

UDC 517.5 We consider the estimation of the uniform approximation error on classes of functions by interpolating multilinear spline with $l_p$ distances for $p>3.$

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Дата:2024
Автори: Zhu, Laiyi, Yang, Guoyi
Формат: Стаття
Мова:Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2024
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/7532
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Zhu, Laiyi
Yang, Guoyi
Zhu, Laiyi
Yang, Guoyi
author_facet Zhu, Laiyi
Yang, Guoyi
Zhu, Laiyi
Yang, Guoyi
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datestamp_date 2024-09-25T06:57:18Z
description UDC 517.5 We consider the estimation of the uniform approximation error on classes of functions by interpolating multilinear spline with $l_p$ distances for $p>3.$
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spelling umjimathkievua-article-75322024-09-25T06:57:18Z On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances Zhu, Laiyi Yang, Guoyi Zhu, Laiyi Yang, Guoyi Multilinear splines; Interpolation; Uniform approximation error; $l_p$ distances; Class of function. UDC 517.5 We consider the estimation of the uniform approximation error on classes of functions by interpolating multilinear spline with $l_p$ distances for $p>3.$ UDK 517.5 Про оцінку похибки рівномірного наближення при інтерполяції мультилінійного сплайна з  $l_p$ відстанями  Розглянуто оцінку похибки рівномірного наближення на класах функцій за допомогою інтерполяції мультилінійним сплайном з $l_p$ відстанями для $p>3.$ Institute of Mathematics, NAS of Ukraine 2024-09-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7532 10.3842/umzh.v76i8.7532 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 8 (2024); 1168 - 1179 Український математичний журнал; Том 76 № 8 (2024); 1168 - 1179 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7532/10153 Copyright (c) 2024 GuoyiYang 杨
spellingShingle Zhu, Laiyi
Yang, Guoyi
Zhu, Laiyi
Yang, Guoyi
On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title_alt On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title_full On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title_fullStr On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title_full_unstemmed On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title_short On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
title_sort on estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
topic_facet Multilinear splines
Interpolation
Uniform approximation error
$l_p$ distances
Class of function.
url https://umj.imath.kiev.ua/index.php/umj/article/view/7532
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