Korovkin-type convergence results for multivariate Shepard formulae
We present a new convergence proof for classic multivariate Shepard formulae within the context of Korovkin-type convergence results for positive operators on spaces of continuous real valued functions.
Հիմնական հեղինակ: | |
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Ձևաչափ: | Հոդված |
Լեզու: | English |
Հրապարակվել է: |
Publishing House of the Romanian Academy
2009-08-01
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Շարք: | Journal of Numerical Analysis and Approximation Theory |
Խորագրեր: | |
Առցանց հասանելիություն: | https://www.ictp.acad.ro/jnaat/journal/article/view/912 |
_version_ | 1828762322436358144 |
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author | Oliver Nowak |
author_facet | Oliver Nowak |
author_sort | Oliver Nowak |
collection | DOAJ |
description | We present a new convergence proof for classic multivariate Shepard formulae within the context of Korovkin-type convergence results for positive operators on spaces of continuous real valued functions. |
first_indexed | 2024-12-11T01:42:49Z |
format | Article |
id | doaj.art-db64a9ddd9f14ac1b8b5f532ff7b9f36 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-12-11T01:42:49Z |
publishDate | 2009-08-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-db64a9ddd9f14ac1b8b5f532ff7b9f362022-12-22T01:24:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2009-08-01382Korovkin-type convergence results for multivariate Shepard formulaeOliver Nowak0Technical University of BraunschweigWe present a new convergence proof for classic multivariate Shepard formulae within the context of Korovkin-type convergence results for positive operators on spaces of continuous real valued functions.https://www.ictp.acad.ro/jnaat/journal/article/view/912Shepard formulaShepard interpolationmultivariate scattered data interpolationapproximation by positive operators |
spellingShingle | Oliver Nowak Korovkin-type convergence results for multivariate Shepard formulae Journal of Numerical Analysis and Approximation Theory Shepard formula Shepard interpolation multivariate scattered data interpolation approximation by positive operators |
title | Korovkin-type convergence results for multivariate Shepard formulae |
title_full | Korovkin-type convergence results for multivariate Shepard formulae |
title_fullStr | Korovkin-type convergence results for multivariate Shepard formulae |
title_full_unstemmed | Korovkin-type convergence results for multivariate Shepard formulae |
title_short | Korovkin-type convergence results for multivariate Shepard formulae |
title_sort | korovkin type convergence results for multivariate shepard formulae |
topic | Shepard formula Shepard interpolation multivariate scattered data interpolation approximation by positive operators |
url | https://www.ictp.acad.ro/jnaat/journal/article/view/912 |
work_keys_str_mv | AT olivernowak korovkintypeconvergenceresultsformultivariateshepardformulae |