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
Descripción
Sumario: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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