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.

Մատենագիտական մանրամասներ
Հիմնական հեղինակ: Oliver Nowak
Ձևաչափ: Հոդված
Լեզու:English
Հրապարակվել է: Publishing House of the Romanian Academy 2009-08-01
Շարք:Journal of Numerical Analysis and Approximation Theory
Խորագրեր:
Առցանց հասանելիություն:https://www.ictp.acad.ro/jnaat/journal/article/view/912
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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.
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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