Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications
We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations. All inequalities are given in terms of moduli of continuity of higher order.
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Format: | Article |
Language: | English |
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Publishing House of the Romanian Academy
2021-12-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/1246 |
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author | Laura Beutel Heiner Gonska |
author_facet | Laura Beutel Heiner Gonska |
author_sort | Laura Beutel |
collection | DOAJ |
description |
We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations.
All inequalities are given in terms of moduli of continuity of higher order.
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first_indexed | 2024-04-13T05:53:32Z |
format | Article |
id | doaj.art-e4211d77c5384b1c95ebbc7c9fd95e82 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-04-13T05:53:32Z |
publishDate | 2021-12-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-e4211d77c5384b1c95ebbc7c9fd95e822022-12-22T02:59:42ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2021-12-01502Quantitative inheritance properties for simultaneous approximation by tensor product operators II: ApplicationsLaura Beutel0Heiner Gonska1University of Duisburg-EssenUniversity of Duisburg-Essen We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations. All inequalities are given in terms of moduli of continuity of higher order. https://www.ictp.acad.ro/jnaat/journal/article/view/1246Approximation TheoryTensor productsinheritance propertiesparametric extensionsdiscretely defined operatorssimultaneous approximation |
spellingShingle | Laura Beutel Heiner Gonska Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications Journal of Numerical Analysis and Approximation Theory Approximation Theory Tensor products inheritance properties parametric extensions discretely defined operators simultaneous approximation |
title | Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications |
title_full | Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications |
title_fullStr | Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications |
title_full_unstemmed | Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications |
title_short | Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications |
title_sort | quantitative inheritance properties for simultaneous approximation by tensor product operators ii applications |
topic | Approximation Theory Tensor products inheritance properties parametric extensions discretely defined operators simultaneous approximation |
url | https://www.ictp.acad.ro/jnaat/journal/article/view/1246 |
work_keys_str_mv | AT laurabeutel quantitativeinheritancepropertiesforsimultaneousapproximationbytensorproductoperatorsiiapplications AT heinergonska quantitativeinheritancepropertiesforsimultaneousapproximationbytensorproductoperatorsiiapplications |