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.
| Yazar: | |
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| Materyal Türü: | Makale |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
Publishing House of the Romanian Academy
2009-08-01
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| Seri Bilgileri: | Journal of Numerical Analysis and Approximation Theory |
| Konular: | |
| Online Erişim: | 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 |