Geometric Estimates in the Polynomial Interpolation

We prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of n variables.

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Main Author: M. V. Nevskii
Format: Article
Language:English
Published: Yaroslavl State University 2011-03-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1083
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author M. V. Nevskii
author_facet M. V. Nevskii
author_sort M. V. Nevskii
collection DOAJ
description We prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of n variables.
format Article
id doaj-art-e96a4eb81df04b6f8f50ab4f9905e280
institution Kabale University
issn 1818-1015
2313-5417
language English
publishDate 2011-03-01
publisher Yaroslavl State University
record_format Article
series Моделирование и анализ информационных систем
spelling doaj-art-e96a4eb81df04b6f8f50ab4f9905e2802025-08-20T04:00:25ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-03-01181142148824Geometric Estimates in the Polynomial InterpolationM. V. Nevskii0Ярославский государственный университет им. П.Г. ДемидоваWe prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of n variables.https://www.mais-journal.ru/jour/article/view/1083functions of <i>n </i>variablespolynomial interpolationprojectionnormhomothety
spellingShingle M. V. Nevskii
Geometric Estimates in the Polynomial Interpolation
Моделирование и анализ информационных систем
functions of <i>n </i>variables
polynomial interpolation
projection
norm
homothety
title Geometric Estimates in the Polynomial Interpolation
title_full Geometric Estimates in the Polynomial Interpolation
title_fullStr Geometric Estimates in the Polynomial Interpolation
title_full_unstemmed Geometric Estimates in the Polynomial Interpolation
title_short Geometric Estimates in the Polynomial Interpolation
title_sort geometric estimates in the polynomial interpolation
topic functions of <i>n </i>variables
polynomial interpolation
projection
norm
homothety
url https://www.mais-journal.ru/jour/article/view/1083
work_keys_str_mv AT mvnevskii geometricestimatesinthepolynomialinterpolation