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.

Bibliographic Details
Main Authors: Laura Beutel, Heiner Gonska
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2021-12-01
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.
first_indexed 2024-04-13T05:53:32Z
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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
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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