Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process

Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted L (p) spaces, 1 ≤ p < ∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these...

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Detalles Bibliográficos
Autores principales: Acar, Tuncer, Dirik, Fadime
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3836421/
https://www.ncbi.nlm.nih.gov/pubmed/24305688
http://dx.doi.org/10.1155/2013/534054
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author Acar, Tuncer
Dirik, Fadime
author_facet Acar, Tuncer
Dirik, Fadime
author_sort Acar, Tuncer
collection PubMed
description Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted L (p) spaces, 1 ≤ p < ∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types of approximation theorems by means of 𝒜-summability which is a stronger convergence method than ordinary convergence.
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spelling pubmed-38364212013-12-04 Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process Acar, Tuncer Dirik, Fadime ScientificWorldJournal Research Article Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted L (p) spaces, 1 ≤ p < ∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types of approximation theorems by means of 𝒜-summability which is a stronger convergence method than ordinary convergence. Hindawi Publishing Corporation 2013-11-05 /pmc/articles/PMC3836421/ /pubmed/24305688 http://dx.doi.org/10.1155/2013/534054 Text en Copyright © 2013 T. Acar and F. Dirik. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Acar, Tuncer
Dirik, Fadime
Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process
title Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process
title_full Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process
title_fullStr Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process
title_full_unstemmed Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process
title_short Korovkin-Type Theorems in Weighted L (p)-Spaces via Summation Process
title_sort korovkin-type theorems in weighted l (p)-spaces via summation process
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3836421/
https://www.ncbi.nlm.nih.gov/pubmed/24305688
http://dx.doi.org/10.1155/2013/534054
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AT dirikfadime korovkintypetheoremsinweightedlpspacesviasummationprocess

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